• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-10-19
Cristian Chifu, Adrian Petruşel, Gabriela Petruşel

In this paper, we will present some fixed point results for the case of non-self operators satisfying a nonlinear graphic contraction condition in complete metric spaces. Properties of the corresponding fixed point equation are established and some applications are given.

更新日期：2020-10-20
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-10-14
Ning Lu, Fei He, Shufang Li

In this work, a counterexample is given to refute a result in the paper by Younis et al. (J Fixed Point Theory Appl 21:1–33, 2019). Furthermore, applying this counterexample, we give negative answers to some of the open problems in their paper. Recently, Baradol et al. give a new theorem to rectify the result of Younis et al. However, we find that there are some gaps in the proofs of their results

更新日期：2020-10-14
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-10-10
Donghoon Jang

In this paper, we prove that if the circle acts on an 8-dimensional compact almost complex manifold M with 4 fixed points, all the Chern numbers and the Hirzebruch $$\chi _y$$-genus of M agree with those of $$S^2 \times S^6$$. In particular, M is unitary cobordant to $$S^2 \times S^6$$.

更新日期：2020-10-11
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-10-06
Bianca Satco, George Smyrlis

We are concerned with the study of a first-order nonlinear periodic boundary value problem \begin{aligned} \left\{ \begin{array}{l} u'_g(t)+b(t) u(t) =f(t,u(t)),\; t\in [0,T]\\ u(0)=u(T) \end{array} \right. \end{aligned}(1) involving the Stieltjes derivative with respect to a left-continuous nondecreasing function. Based on Schaeffer’s fixed point theorem and making use of a notion of partial Stieltjes

更新日期：2020-10-07
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-10-04
Torrey M. Gallagher, Maria Japón, Chris Lennard

Let C be a convex subset of a Banach space X and let T be a mapping from C into C. Fix $$\alpha =(\alpha _1,\alpha _2,\ldots ,\alpha _n)$$ a multi-index in $${\mathbb {R}}^n$$ such that $$\alpha _i\ge 0$$ ($$1\le i\le n$$), $$\sum _{i=1}^n\alpha _i=1$$, $$\alpha _1,\alpha _n>0$$, and consider the mapping $$T_\alpha :C\rightarrow C$$ given by $$T_\alpha =\sum _{i=1}^n \alpha _i T^i$$. Every fixed point

更新日期：2020-10-04
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-10-04
Afif Ben Amar, Saoussen Derbel, Donal O’Regan

The purpose of this paper is to prove fixed point results for certain types of countably asymptotically $$\Phi$$-nonexpansive (or countably $$\Phi$$-condensing) operators on locally convex spaces and satisfying additional asymptotic contractive-type conditions. These results allow us to obtain generalizations of recent fixed point theorems of Ben Amar, Isac, Németh, O’Regan, and Touati to locally

更新日期：2020-10-04
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-10-02
Zdzisław Dzedzej, Tomasz Gzella

The notion of homotopy in the category of morphisms introduced by Górniewicz and Granas is proved to be equivalence relation which was not clear for years. Some simple properties are proved and a coincidence point index is described.

更新日期：2020-10-02
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-10-02
Bancha Panyanak

Using the viscosity approximation method introduced by Moudafi (J Math Anal Appl 241:46–55, 2000), we can obtain strong convergence theorems for monotone increasing G-nonexpansive mappings in Hadamard spaces endowed with graphs. We also give sufficient conditions for the existence of solutions of the variational inequality problem in this setting. Our results generalize and improve many results in

更新日期：2020-10-02
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-10-01
Rubén Figueroa, Rodrigo López Pouso, Jorge Rodríguez–López

We obtain a new fixed point index theory for a class of not necessarily continuous operators in cones. We employ this tool to prove a discontinuous version of Leggett–Williams’ fixed point theorem. Finally, we establish new existence and multiplicity criteria for a second-order three point BVP with discontinuous nonlinearities.

更新日期：2020-10-02
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-09-30
Lili Chen, Ni Yang, Yanfeng Zhao, Zhenhua Ma

In this paper, we first introduce the concept of graphical convex metric spaces and some basic properties of the underlying spaces. Different from related literature, we generalize Mann iterative scheme and Agrawal iterative scheme for set-valued mappings to above spaces by introducing the concepts of T-Mann sequences and T-Agrawal sequences. Furthermore, by using the iterative techniques and graph

更新日期：2020-09-30
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-09-26
Behnam Matani, Jamal Rezaei Roshan

In this work, we introduce the concepts of multivariate generalized Meir–Keeler condensing operator, and multivariate L-function and prove some new fixed point theorems with the aid of the measure of non-compactness. Our results generalize and extend a lot of comparable results in the literature. Also, we use these results to discuss the solvability for a system of functional integral equations of

更新日期：2020-09-26
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-09-22
Djamila Derouiche, Hichem Ramoul

The purpose of this paper is to introduce the notions of extended F-contraction of Hardy–Rogers type, extended F-contraction of Suzuki–Hardy–Rogers type and generalized F-weak contraction of Hardy–Rogers type and to establish some new fixed point results for such kind of mappings in the setting of complete b-metric spaces. These fixed point results improve (and/or) extend those obtained in Vetro (Nonlinear

更新日期：2020-09-22
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2009
Wojciech Kryszewski; Andrzej Szulkin

We start by introducing a Čech homology with compact supports which we then use in order to construct an infinite-dimensional homology theory. Next we show that under appropriate conditions on the nonlinearity there exists a ground state solution for a semilinear Schrödinger equation with strongly indefinite linear part. To this solution there corresponds a nontrivial critical group, defined in terms

更新日期：2020-09-22
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2009
Aram Arutyunov; Evgeniy Avakov; Boris Gel’man; Andrei Dmitruk; Valeri Obukhovskii

We study the notion of α-covering map with respect to certain subsets in metric spaces. Generalizing results from  we use this notion to give some coincidence theorems for pairs of single-valued and multivalued maps one of which is relatively α-covering while the other satisfies the Lipschitz condition. These assertions extend some classical contraction map principles. We define the notion of α-covering

更新日期：2020-09-22
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2009
L. A. Caffarelli; A. L. Karakhanyan; Fang-Hua Lin

Segregation systems and their singular perturbations arise in different areas: particle anihilation, population dynamics, material sciences. In this article we study the elliptic and parabolic limits of a nonvariational singularly perturbed problem. Existence and regularity properties of solutions and their limits are obtained.

更新日期：2020-09-22
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2009
David Fried

When X is a finite complex and $$\pi_{1}X$$ acts on $${\mathbb{R}}^2$$ by translations we give criteria involving H2X for an equivariant map $$F : \tilde{X} \rightarrow {\mathbb{R}}^2$$ to be onto. Following work of Manning and Shub, this leads to entropy bounds related to Shub’s entropy conjecture.

更新日期：2020-09-22
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2009
Abbas Bahri

Let v be a nonsingular Morse–Smale vector field in the kernel of a contact form α, with Reeb vector field $$\xi$$, defined on M3. We establish that the associated variational problem at infinity defined by the action functional on the stratified space $$\bigcup \Gamma_{2k}$$ of curves made of $$\xi$$-pieces of orbits alternating with $$\pm v$$-pieces of orbits satisfies the Palais–Smale condition.

更新日期：2020-09-22
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2009
Hichem Ben-El-Mechaiekh; Philippe Bich; Monique Florenzano

Focusing mainly on equilibrium existence results, this paper emphasizes the role of fixed point theorems in the development of general equilibrium theory, for its standard definition as well as for some of its extensions.

更新日期：2020-09-22
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2009
Takuya Iimura; Zaifu Yang

This paper attempts to study market and noncooperative game models in the presence of indivisibilities from a unified point of view. For market models we examine the sum of consumers’ demand correspondences mapping an integral price space to an integral commodity space, whereas for noncooperative game models we investigate the product of players’ response correspondences mapping a discrete strategy

更新日期：2020-09-22
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-09-14

We present several random fixed point theorems for random operators with deterministic or stochastic domains. The main assumptions of our results are formulated in terms of the weak topology and an axiomatic definition of the measure of weak noncompactness. The results herein extend in a broad sense some new and classical results in the literature. As an application, we discuss the solvability of a

更新日期：2020-09-14
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-09-09
Hyejin Kwon; Chong Gyu Lee; Sang-Min Lee

In this paper, we describe the semistable quotient of the set of regular polynomial automorphisms $${\mathcal {H}}_2^2$$ in the semistable locus of the moduli space of quadratic rational maps, using the portrait moduli space of rational maps with a fixed point. We also provide the parametrization of $${\mathcal {H}}_2^2$$ using two invariants, $$\det f$$ and $${\text {tr}}\,f$$.

更新日期：2020-09-09
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-09-07
Ali Turab; Wutiphol Sintunavarat

The purpose of this short note is to present some corrections and clarifications concerning the proof of the main result given in the paper “On analytic model for two-choice behavior of the paradise fish based on the fixed point method, J. Fixed Point Theory Appl. 2019, 21:56”.

更新日期：2020-09-07
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-09-07
Guo-ji Tang; Jinxia Cen; Van Thien Nguyen; Shengda Zeng

The goal of this paper is to study a comprehensive system called differential variational–hemivariational inequality which is composed of a nonlinear evolution equation and a time-dependent variational–hemivariational inequality in Banach spaces. Under the general functional framework, a generalized existence theorem for differential variational–hemivariational inequality is established by employing

更新日期：2020-09-07
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-09-05
Naeem Saleem; Iram Iqbal; Bilal Iqbal; Stojan Radenovíc

The aim of the paper was to prove some new fixed point theorems, coincidence point theorems and common fixed point theorems for multivalued F-contractions involving a binary relation that is not necessarily a partial order, in the context of generalized metric spaces (in the sense of Jleli and Samet). We also prove existence of common solutions to integral inclusions.

更新日期：2020-09-05
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-09-04
Taewon Ryu; Songho Li; Cholyong Kang

In this paper, we study the notion of the twisted conjugacy separability developed in Fel’shtyn and Troitsky (J K-Theory 1:1–40, 2008). We give an example of group with twisted conjugacy separability, but without residual finiteness. Thus, we find the negative answers on the several open questions formulated by Fel’shtyn and Troitsky (Topol Appl 157:1724–1735, 2010). In addition, we discuss the generalization

更新日期：2020-09-04
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-09-04
Hong-Kun Xu; Luigi Muglia

We are concerned with the problem of solving variational inequalities which are defined on the set of fixed points of a multivalued nonexpansive mapping in a reflexive Banach space. Both implicit and explicit approaches are studied. Strong convergence of the implicit method is proved if the space satisfies Opial’s condition and has a duality map weakly continuous at zero, and the strong convergence

更新日期：2020-09-04
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-09-03
Manish Jain; Sanjay Kumar; Choonkil Park

In this paper, we present a new coupled $$\Phi$$-contraction principle for w-compatible mappings with (CLR) property in GV-fuzzy metric spaces. The present work improves the recent results of Hu (Fixed Point Theory Appl 2011:363716, 2011), Hu et al. (Fixed Point Theory Appl 2013:220, 2013) and Jain et al. (J Appl Math 2012:961210, 2012). At the end, we provide the significance of the present study

更新日期：2020-09-03
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-09-01
Nguyen Huy Tuan; Vo Van Au; Vo Viet Tri; Donal O’Regan

In this paper we consider the Cauchy problem for the pseudo-parabolic equation:\begin{aligned} \dfrac{\partial }{\partial t} \left( u + \mu (-\Delta )^{s_1} u\right) + (-\Delta )^{s_2} u = f(u),\quad x \in \Omega ,~ t>0. \end{aligned}Here, the orders $$s_1, s_2$$ satisfy 0 更新日期：2020-09-01 • J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-08-27 Bartosz Bieganowski; Simone Secchi We consider the nonlinear fractional problem\begin{aligned} (-\Delta )^{s} u + V(x) u = f(x,u)&\quad \hbox {in } \mathbb {R}^N \end{aligned}We show that ground state solutions converge (along a subsequence) in \(L^2_{\mathrm {loc}} (\mathbb {R}^N), under suitable conditions on f and V, to a ground state solution of the local problem as $$s \rightarrow 1^-$$.

更新日期：2020-08-27
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-08-14

First, we introduce a new measure of noncompactness in weighted Sobolev spaces $$W_{w}^{m,p}(\Omega )$$, and then as an application, we study the existence of solutions for a class of the nonlinear convolution type integral equations using Darbo’s fixed point theorem associated with this new measure of noncompactness. Further, an example is presented to verify the effectiveness and applicability of

更新日期：2020-08-14
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-08-13
Monica-Felicia Bota; Liliana Guran; Adrian Petruşel

Let (X, d) be a complete b-metric space endowed with a partial order relation and $$f:X\rightarrow X$$ be a Ćirić type operator. In this paper, an extended study of the fixed point equation $$x=f(x), \ x\in X$$, is considered. As an application, coupled fixed point results are given in the same framework. Our results generalize some recent theorems in the literature.

更新日期：2020-08-13
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-08-12
Khalil Ezzinbi; Saifeddine Ghnimi; Mohamed Aziz Taoudi

In this paper, we show the existence of mild solutions for a class of neutral partial integrodifferential equations with lack of compactness. The results are obtained using noncompact resolvent operators and a new fixed point theorem of Monch-Krasnosel’skii type. Our results are applied to a large variety of partial differential equations in which memory effects are considered. An example is provided

更新日期：2020-08-12
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-08-03
Mujahid Abbas; Wasfi Shatanawi; Sadia Farooq; Zoran D. Mitrović

The aim of this paper is to introduce a new class of noncommuting mappings called JH-operator pairs of type (A). We obtain the unique point of coincidence point in generalized metric spaces and the common fixed point results of such pairs of mappings in the setting of metric spaces. Some examples are also presented to support the concepts and results proved herein. We prove the existence of solution

更新日期：2020-08-03
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-08-01
Jiuqiang Liu; Mingyu Wang; Yi Yuan

In this paper, we present two generalizations of the well-known Browder fixed point theorem, one of which is equivalent to the well-known Fan–Knaster–Kuratowski–Mazurkiewicz theorem. As applications, we apply these fixed point theorems to derive existence theorems for Nash equilibria in generalized games which generalize some existing existence theorems in the literature, including the well-known equilibrium

更新日期：2020-08-01
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-08-01
Thitima Kesahorm; Wutiphol Sintunavarat

Nowadays, the usage of the existence and convergence results of a common fixed point for nonlinear semigroups of various kinds of self-mappings is applied to several problems in mathematics and another branches. Surprisingly, nobody considered the study on the nonlinear semigroups of weak contraction self-mappings in the sense of Berinde. The purpose of this paper is to attempt to complete this direction

更新日期：2020-08-01
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-07-23
Erdal Karapınar; Andreea Fulga; Ravi P. Agarwal

In this note, we aim to review the recent results on F-contractions, introduced by Wardowski. After examining the fixed point results for such operators, we collect the sequent results in this direction in a different setting. One of the aims of this survey is to provide a complete collection of several fixed generalizations and extensions of F-contractions.

更新日期：2020-07-23
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-07-20
Amine Marah; Hicham Redwane; Khaled Zaki

In this paper, we are interested in the existence result of solutions for nonlinear and singular Dirichlet problem whose model is\begin{aligned} \left\{ \begin{aligned}&-\mathrm{div}\Big (b(u) \nabla u\Big )+\mu (x) \frac{|\nabla u|^2}{|u|^\theta } \mathrm{{sign}}(u)=f\ \ \mathrm{in}\ \Omega ,\\&u=0\ \ \mathrm{on}\ {\partial \Omega },\\ \end{aligned} \right. \end{aligned}where $$\Omega$$ is a

更新日期：2020-07-20
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-07-17
Hideo Deguchi; Michael Oberguggenberger

The paper is devoted to regularity theory of generalized solutions to semilinear wave equations with a small nonlinearity. The setting is the one of Colombeau algebras of generalized functions. It is shown that in one space dimension, an initial singularity at the origin propagates along the characteristic lines emanating from the origin, as in the linear case. The proof is based on a fixed point theorem

更新日期：2020-07-17
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-07-16

In this paper, we have some observations on F-weak contractions due to Wardowski and Van Dung (Demonstr Math 47(1):146–155, 2014). Our observations lead us to introduce the notion of $$F^*$$-weak contractions and utilize the same to prove some fixed point results. The proven results give an affirmative answer to certain open questions raised by Kannan (Bull Calcutta Math Soc 60:71–76, 1968) and Rhoades

更新日期：2020-07-16
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-07-11

In this paper, we investigate the right and left Bregman weakly relatively nonexpansive operators in reflexive Banach spaces. We first introduce the notions of convex hull demi-closedness principle, strictly strongly convex hull demi-closedness principle, strongly demi-closedness principle, and composition demi-closedness principle of a family of nonlinear mappings using another new notions of convex

更新日期：2020-07-11
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-07-08
Ali Turab; Wutiphol Sintunavarat

In this paper, we are dealing with a particular type of predator–prey model in which a predator has two choices of preys with probabilities x and $$1-x$$, respectively. Our aims are to analyze the behavior of predator animals in such situation and to construct a general functional equation for it, which covers all the aspects of such type of relationship. The Banach fixed point theorem is being used

更新日期：2020-07-08
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-07-06

In this paper, we give or improve compression-expansion results for set contractions in conical domains determined by balls or star convex sets. In the compression case, we use Potter’s idea of proof, while the expansion case is reduced to the compression one by means of a change of variable. Finally, to illustrate the theory, we give an application to the initial value problem for a system of implicit

更新日期：2020-07-06
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-06-21

The purpose of this paper is to propose and analyze a multi-step iterative sequence to solve a convex optimization problem and a fixed point problem in an Hadamard space. We aim to establish strong and $$\triangle$$-convergence results of the proposed iterative sequence by employing suitable conditions on the control parameters and the structural properties of the underlying space. As a consequence

更新日期：2020-06-21
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-06-16
Dario Corona

In this paper, we study the multiplicity problem for Euler–Lagrange orbits that satisfy the conormal boundary conditions for a suitable class of reversible Lagrangian functions on compact manifolds. Such a class contains, e.g. the energy function of reversible Finsler metrics that satisfy a convexity condition on the boundary.

更新日期：2020-06-16
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-06-16
C. E. Chidume; A. Adamu; M. S. Minjibir; U. V. Nnyaba

Let E be a real normed space. A new notion of quasi-boundedness for operators $$A:E\rightarrow 2^E$$ is introduced and the following general important result for accretive operators is proved: an accretive operator with zero in the interior of its domain is quasi-bounded. Using this result, a new strong convergence theorem for approximating a zero of an m-accretive operator is proved in a uniformly

更新日期：2020-06-16
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-06-13
Zhongyang Ming; Guowei Zhang; Juan Zhang

In this paper, we study the existence of nontrivial solutions to the following nonlinear differential equation with derivative term:\begin{aligned} {\left\{ \begin{array}{l}u''(t)+a(t)u(t)=f\big (t,u(t),u'(t)\big ),\quad t\in [0,\omega ],\\ u(0)=u(\omega ),\quad u'(0)=u'(\omega ),\end{array}\right. } \end{aligned}where a: $$[0,\omega ]\rightarrow \mathbb {R}^{+}\big (\mathbb {R}^{+}=[0,+\infty 更新日期：2020-06-13 • J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-06-12 R. Pasupathi; A. K. B. Chand; M. A. Navascués In this paper, we consider some generalization of the Banach contraction principle, namely cyclic contraction and cyclic \(\varphi$$-contraction. For the application to the fractal, we develop new iterated function systems (IFS) consisting of cyclic contractions and cyclic $$\varphi$$-contractions. Further, we discuss about some special properties of the Hutchinson operator associated with the cyclic

更新日期：2020-06-12
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-06-11
Getahun B. Wega; Habtu Zegeye

The purpose of this paper is to study the method of approximation for a zero of the sum of two maximal monotone mappings in Banach spaces and prove strong convergence of the proposed method under suitable conditions. The method of proof is of independent interest. In addition, we give some applications to the minimization problems. Our theorems improve and unify most of the results that have been proved

更新日期：2020-06-11
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-06-09
Maher Berzig; Marwa Bouali

We establish a coincidence point theorem in complete metric spaces. As a consequence, we show the existence of solutions to a system of initial value problem of fractional differential equations involving Riemann–Liouville fractional derivatives. Next, we derive several coincidence point theorems for new classes of sublinear and superlinear operators, in the context of ordered Banach spaces. Finally

更新日期：2020-06-09
• J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-06-08
Dariusz Wardowski

In a real Banach space X and a complete metric space M, we consider a compact mapping C defined on a closed and bounded subset A of X with values in M and the operator $$T:A\times C(A) \rightarrow X$$. Using a new type of equicontractive condition for a certain family of mappings and $$\beta$$-condensing operators defined by the Hausdorff measure of noncompactness we prove that the operator $$x\mapsto 更新日期：2020-06-08 • J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-06-06 Carlos Alberto Santos; Ricardo Lima Alves; Mariana Reis; Jiazheng Zhou In this paper, we establish maximal domains on the real parameters \(\lambda ,\mu >0$$ to existence of $$C^{1}({\mathbb {R}}^{N})$$-entire positive solutions for the quasilinear elliptic system\begin{aligned} \left\{ \begin{array}{l} -\Delta _p u = \eta a(x)f_1(u) + \lambda b(x)g_1(u)h_1(v)~in ~ {\mathbb {R}}^N,\\ -\Delta _p v = \theta c(x)f_2(v) + \mu d(x)g_2(v)h_2(u)~in~ {\mathbb {R}}^N,\\ u, v 更新日期：2020-06-06 • J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-06-05 Yong-Zhuo Chen In this paper, we discuss the fixed point theorems for a combination of $$\alpha$$-concave and compact operators. The results can be seen as variants of Krasnoselskii’s theorem using $$\alpha$$-concave operators. 更新日期：2020-06-05 • J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-06-05 Stefano Biagi; Alessandro Calamai; Francesca Papalini We consider a strongly nonlinear differential equation of the following general type:\begin{aligned} (\Phi (a(t,x(t)) \, x'(t)))'= f(t,x(t),x'(t)), \quad \text {a.e. on }[0,T], \end{aligned}$$where f is a Carathédory function, $$\Phi$$ is a strictly increasing homeomorphism (the $$\Phi$$-Laplacian operator), and the function a is continuous and non-negative. We assume that a(t, x) is bounded from 更新日期：2020-06-05 • J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-06-04 Sami Atailia; Najeh Redjel; Abdelkader Dehici In this paper, we solve two fixed point problems associated with the class of (c)-mappings. The first one is devoted to obtain the existence of fixed points for such mappings defined on $$\hbox {weak}^{\star }$$ closed bounded convex subsets of duals of separable Banach spaces when the orthogonality relation $$\perp$$ is uniformly $$\hbox {weak}^{\star }$$ approximately symmetric. For the second problem 更新日期：2020-06-04 • J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-06-03 Ali Turab; Wutiphol Sintunavarat This paper deals with a specific type of traumatic avoidance for the learning process of normal dogs enclosed into a small compartment with a steel grid floor. Our aim is to analyze the behavior of the dogs in such situations and to construct a suitable mathematical model for it. The existence and uniqueness results of the proposed traumatic avoidance learning model are being investigated by the use 更新日期：2020-06-03 • J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-06-03 Tian Xiang; Dong Zhu In this article, we first establish a series of user-friendly versions of fixed point theorems in cones for sum of two operators with one being either contractive or expansive and the other being compact, one of which covers the classical Krasnoselskii’s fixed point theorem concerning cone expansion and compression of norm type. Along the way, we also offer some sufficient conditions which slightly 更新日期：2020-06-03 • J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-06-02 S. Shukri In this work, we study existence and convergence of best proximity points of a cyclic contraction mapping in a complete $$\mathrm{{CAT}}_\mathrm{{p}}(0)$$ metric space, with $$p \ge 2$$. The case of coupled best proximity points of a pair of cyclic contraction mappings is also discussed. As an application, we provide sufficient conditions to obtain an extension of the Banach Contraction Principle for 更新日期：2020-06-02 • J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-05-25 Abdul Rahim Khan; Dolapo Muhammed Oyetunbi In this paper, we extend and complement main result of Górnicki [J. Fixed Point Theory Appl. 22:8, 2020] and Bisht[ J. Fixed Point Theory Appl. 21:54, 2019] for a pair of asymptotically regular mappings. Our work improves some other comparable results existing in the literature. 更新日期：2020-05-25 • J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-05-22 Ishak Altun; Murat Olgun In the present paper, we introduce the concept of F-contraction on vector-valued metric space. Then, we achieved a fixed point result that includes the famous Perov fixed point theorem as properly. We provided a nontrivial and illustrative example showing this fact. Finally, we give an existence result for semilinear operator system in a Banach space. 更新日期：2020-05-22 • J. Fixed Point Theory Appl. (IF 1.741) Pub Date : 2020-05-21 Yun Xin; Shaowen Yao In this paper, we investigate the existence of a positive periodic solution for the following p-Laplacian generalized Rayleigh equation with a singularity:$$\begin{aligned} (\phi _p(x'(t)))'+f(t,x'(t))+g(x(t))=e(t), \end{aligned}where g has a singularity of repulsive type at the origin. The novelty of the present article is that for the first time, we show that a weakly singularity enables the achievement

更新日期：2020-05-21
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