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Classification of additive mappings on certain rings and algebras Arab. J. Math. Pub Date : 2024-04-01 Abu Zaid Ansari
Abstract The objective of this research is to prove that an additive mapping \(\Delta :{\mathcal {A}}\rightarrow {\mathcal {A}}\) will be a generalized derivation associated with a derivation \(\partial :{\mathcal {A}}\rightarrow {\mathcal {A}}\) if it satisfies the following identity \(\Delta (r^{m+n+p})=\Delta (r^m)r^{n+p}+r^m\partial (r^{n})r^p+r^{m+n}\partial (r^p)\) for all \(r\in {\mathcal {A}}\)
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Fixed points of Suzuki-generalized nonexpansive mappings in $$CAT_p(0)$$ metric spaces Arab. J. Math. Pub Date : 2024-02-22 Alia Abu Darweesh, Sami Shukri
In this work, we obtain fixed point theorems and convergence theorems for Suzuki-generalized nonexpansive mappings in complete \(CAT_p(0)\) metric spaces for \(p\ge 2\). Our results extend and improve many results in the literature.
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Classical symmetries of the Klein–Gordon–Zakharov equations with time-dependent variable coefficients Arab. J. Math. Pub Date : 2024-01-23 Preeti Devi, Abhishek Guleria
In this article, we employ the group-theoretic methods to explore the Lie symmetries of the Klein–Gordon–Zakharov equations, which include time-dependent coefficients. We obtain the Lie point symmetries admitted by the Klein–Gordon–Zakharov equations along with the forms of variable coefficients. From the resulting symmetries, we construct similarity reductions.The similarity reductions are further
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B. Y. Chen-Ricci inequalities for anti-invariant Riemannian submersions in Kenmotsu space forms Arab. J. Math. Pub Date : 2024-01-19 Murat Polat
The aim of the present paper is to analyze sharp type inequalities including the scalar and Ricci curvatures of anti-invariant Riemannian submersions in Kenmotsu space forms \(K_{s}(\varepsilon )\). We give non-trivial examples for anti-invariant Riemannian submersions, investigate some curvature relations between the total space and fibres according to vertical and horizontal cases of \(\xi \). Moreover
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On deformable fractional impulsive implicit boundary value problems with delay Arab. J. Math. Pub Date : 2023-12-19 Salim Krim, Abdelkrim Salim, Mouffak Benchohra
This paper deals with some existence and uniqueness results for a class of deformable fractional differential equations. These problems encompassed nonlinear implicit fractional differential equations involving boundary conditions and various types of delays, including finite, infinite, and state-dependent delays. Our approach to proving the existence and uniqueness of solutions relied on the application
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General stability for a Cohen–Grossberg neural network system Arab. J. Math. Pub Date : 2023-12-15 Mohammed D. Kassim, Nasser-Eddine Tatar
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On the uniqueness of a meromorphic function and its higher difference operator under the purview of two shared sets Arab. J. Math. Pub Date : 2023-12-06 Sanjay Mallick, Pratap Basak
In the paper, we investigate the uniqueness problem of a meromorphic function and its difference operator to the most general setting via two shared set problems and thus improve a recent result of Chen–Chen (Bull Malays Math Sci Soc 35(3): 765-774, 2012) .
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A note on the inhomogeneous fractional nonlinear Schrödinger equation Arab. J. Math. Pub Date : 2023-12-07 Tarek Saanouni, Qihong Shi
This paper investigates some well-posedness issues of the fractional inhomogeneous Schrödinger equation $$\begin{aligned} i\dot{u}-(-\Delta )^\gamma u=\pm |x|^\rho |u|^{p-1}u, \end{aligned}$$ where \(0<\gamma <1\) and \(\rho <0\). Here, one considers the inter-critical regime \(0
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Calculus of variations with higher order Caputo fractional derivatives Arab. J. Math. Pub Date : 2023-10-30 Rui A. C. Ferreira
In this work, we consider fractional variational problems depending on higher order fractional derivatives. We obtain optimality conditions for such problems and we present and discuss some examples. We conclude with possible research directions.
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Best approximation with geometric constraints Arab. J. Math. Pub Date : 2023-09-29 Hossein Mohebi, Hassan Bakhtiari
In this paper, we consider a finite family of sets (geometric constraints) \(F_{1}, F_{2},\ldots , F_{r}\) in the Euclidean space \({\mathbb {R}}^n.\) We show under mild conditions on the geometric constraints that the “perturbation property” of the constrained best approximation from a nonempty closed set \(K \cap F\) is characterized by the “convex conical hull intersection property” (CCHIP in short)
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Integral transforms suitable for solving fractional differential equations Arab. J. Math. Pub Date : 2023-09-23 Chiara Boiti, Jonathan Franceschi
The purpose of this article is to obtain appropriate tools for solving fractional differential equations that are flexible enough to adapt to different purposes. We thus look for a very general fractional Fourier transform with a phase function which can be appropriately chosen according to the problem you want to face.
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A nonlocal type problem involving a mixed local and nonlocal operator Arab. J. Math. Pub Date : 2023-09-22 Kheireddine Biroud
In this paper, we consider the nonlocal elliptic problem involving a mixed local and nonlocal operator, $$\begin{aligned} (P)\left\{ \begin{array}{rcll} \left( \displaystyle \int \limits _\Omega f(x,u)dx\right) ^{\beta }\mathfrak {L_{p,s}}(u)&{}= &{} f^\alpha (x,u) &{} \text { in }\Omega , \\ u &{}> &{} 0 &{} \text {in }\Omega , \\ u &{} = &{} 0 &{} \text {in }{\mathbb {R}}^N \setminus \Omega , \end{array}
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Singular two-phase problem on a complete manifold: analysis and insights Arab. J. Math. Pub Date : 2023-09-12 Omar Benslimane, Ahmed Aberqi
We focus on two-phase problems with singular and superlinear parametric terms on the right-hand side. Using fibering maps and the Nehari manifold method, we prove that there are at least two non-trivial positive solutions in a geometric setting that is locally similar to Euclidean spaces but has different global properties for all except the smallest values of parameter \(\mu > 0.\) Singularities may
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System of generalized variational-like inclusions involving $$\varvec{(P,\eta )}$$ -accretive mapping and fixed point problems in real Banach spaces Arab. J. Math. Pub Date : 2023-08-30 Javad Balooee, Suliman Al-Homidan
This paper attempts to prove the Lipschitz continuity of the resolvent operator associated with a \((P,\eta )\)-accretive mapping and compute an estimate of its Lipschitz constant. This is done under some new appropriate conditions that are imposed on the parameter and mappings involved in it; with the goal of approximating a common element of the solution set of a system of generalized variational-like
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Dynamical analysis of a discrete-time plant–herbivore model Arab. J. Math. Pub Date : 2023-08-29 M. Y. Hamada
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On the first integrals of the Painlevé classes of equations Arab. J. Math. Pub Date : 2023-08-27 Mogahid M. A. Ahmed, Bader Alqurashi, Abdul Hamid Kara
The role of symmetries and first integrals are well known mechanisms for the reduction of ordinary differential equations (odes) and, used in conjunction, lead to double reductions of the odes. In this article, we attempt to construct the first integrals of a large class of the well known second-order Painlevé equations. In some cases, variational and/or gauge symmetries have additional applications
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Compact formula for skew-symmetric system of matrix equations Arab. J. Math. Pub Date : 2023-08-14 Abdur Rehman, Ivan I. Kyrchei
In this paper, we consider skew-Hermitian solution of coupled generalized Sylvester matrix equations encompassing \(*\)-hermicity over complex field. The compact formula of the general solution of this system is presented in terms of generalized inverses when some necessary and sufficient conditions are fulfilled. An algorithm and a numerical example are provided to validate our findings. A numerical
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On a family of higher order recurrence relations: symmetries, formula solutions, periodicity and stability analysis Arab. J. Math. Pub Date : 2023-08-10 Mensah Folly-Gbetoula
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Wiener–Hopf technique for a fractional mixed boundary value problem in cylindrical layer Arab. J. Math. Pub Date : 2023-07-07 Alireza Ansari, Mohammad Rasool Masomi
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Existence, uniqueness and Ulam stability results for a mixed-type fractional differential equations with p-Laplacian operator Arab. J. Math. Pub Date : 2023-06-27 E. Kenef, I. Merzoug, A. Guezane-Lakoud
In this paper, we study a nonlinear fractional p-Laplacian boundary value problem containing both left Riemann–Liouville and right Caputo fractional derivatives with initial and integral conditions. Some new results on the existence and uniqueness of a solution for the model are obtained as well as the Ulam stability of the solutions. Two examples are provided to show the applicability of our results
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On convergence of infinite products of convex combinations of mappings in CAT(0) spaces Arab. J. Math. Pub Date : 2023-06-21 Rafael Espínola-García, Aleksandra Huczek
We study the weak convergence of infinite products of convex combinations of operators in complete CAT(0) spaces. We provide a new approach to this problem by considering a constructive selection of convex combinations in CAT(0) spaces that does not depend on the order of the involved elements and retain continuity properties with respect to them.
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Lie symmetry analysis and some new exact solutions of the Fokker–Planck equation Arab. J. Math. Pub Date : 2023-06-20 Samar Al-Nassar, Mehdi Nadjafikhah
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Common stationary point of multivalued asymptotically regular mappings Arab. J. Math. Pub Date : 2023-06-15 Abdul Rahim Khan, Dolapo Muhammed Oyetunbi, Chinedu Izuchukwu
We establish a relationship between asymptotic regularity and common stationary points of multivalued mappings on a metric space. As a consequence of our results, we obtain a new common fixed point result for two asymptotically regular single-valued mappings. Our work significantly improves and complements comparable results in the literature.
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Conjugate complex harmonic functions Arab. J. Math. Pub Date : 2023-06-15 Lino F. Reséndis O, Luis M. Tovar S, Yesenia Bravo O
This paper presents several properties and relations that satisfy the components of a bicomplex holomorphic function. It also exhibits several analogies and differences with the case of analytic functions.
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Well-posedness and decay in a system of hyperbolic and biharmonic-wave equations with variable exponents and weak dampings Arab. J. Math. Pub Date : 2023-05-30 Oulia Bouhoufani
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Weighted fractional stochastic integro-differential equation with infinite delay Arab. J. Math. Pub Date : 2023-05-27 Fatima Zahra Arioui
In this paper, we consider a weighted fractional stochastic integro-differential equation with infinite delay and nonzero initial values involving a Riemann–Liouville fractional derivative of order \(1/2<\alpha <1\). The existence of a mild solution is investigated using fractional calculus, stochastic analysis, and the fixed point theorem. An example is also provided to illustrate the obtained result
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The eigenvalue problem for Kirchhoff-type operators in Musielak–Orlicz spaces Arab. J. Math. Pub Date : 2023-05-18 Osvaldo Méndez
Given a Musielak–Orlicz function \(\varphi (x,s):\Omega \times [0,\infty )\rightarrow {\mathbb R}\) on a bounded regular domain \(\Omega \subset {\mathbb R}^n\) and a continuous function \(M:[0,\infty )\rightarrow (0,\infty )\), we show that the eigenvalue problem for the elliptic Kirchhoff’s equation \(-M\left( \int \limits _{\Omega }\varphi (x,|\nabla u(x)|)\textrm{d}x\right) \text {div}\left( \frac{\partial
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Equilibrium problems when the equilibrium condition is missing Arab. J. Math. Pub Date : 2023-04-21 Mircea Balaj, Dan Florin Serac
Given a nonempty convex subset X of a topological vector space and a real bifunction f defined on \(X \times X\), the associated equilibrium problem consists in finding a point \(x_0 \in X\) such that \(f(x_0, y) \ge 0\), for all \(y \in X\). A standard condition in equilibrium problems is that the values of f to be nonnegative on the diagonal of \(X \times X\). In this paper, we deal with equilibrium
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Stability of a flexible missile and asymptotics of the eigenvalues of fourth order boundary value problems Arab. J. Math. Pub Date : 2023-04-15 Bertin Zinsou
Fourth order problems with the differential equation \(y^{(4)}-(gy')'=\lambda ^2y\), where \(g\in C^1[0,a]\) and \(a>0\), occur in engineering on stability of elastic rods. They occur as well in aeronautics to describe the stability of a flexible missile. Fourth order Birkhoff regular problems with the differential equation \(y^{(4)}-(gy')'=\lambda ^2y\) and eigenvalue dependent boundary conditions
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Primes and G-primes in $$\mathbb {Z}$$ -nearalgebras Arab. J. Math. Pub Date : 2023-04-01 Shalini Chandel, Ram Parkash Sharma
Let N be a \(\mathbb {Z}\)-nearalgebra; that is, a left nearring with identity satisfying \( k(nn^{\prime })=(kn)n^{\prime }=n(kn^{\prime })\) for all \(k\in \mathbb {Z}\), \(n,n^{\prime }\in N\) and G be a finite group acting on N. Then the skew group nearring \(N*G\) of the group G over N is formed. If N is 3-prime (\(aNb=0\) implies \(a=0\) or \(b=0\)), then a nearring of quotients \( Q_{0}(N)\)
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Equivariant homotopy equivalence of homotopy colimits of $$G$$ -functors Arab. J. Math. Pub Date : 2023-03-25 Rafael Villarroel-Flores
Given a group G and a G-category \({\textbf{C}}\), we give a condition on a diagram of simplicial sets indexed by \({\textbf{C}}\) that allows us to define a natural action of G on its homotopy colimit, and some other simplicial sets defined in terms of the diagram. Well-known theorems on homeomorphisms and homotopy equivalences are generalized to equivariant versions.
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The effective monoids of some blow-ups of Hirzebruch surfaces Arab. J. Math. Pub Date : 2023-03-13 G. Andablo-Reyes, B. L. De La Rosa-Navarro, M. Lahyane
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A unified analysis for reaction–diffusion models with application to the spiral waves dynamics of the Barkley model Arab. J. Math. Pub Date : 2023-02-27 Yahya Alnashri, Hasan Alzubaidi
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The dual of the sequence spaces with mixed norms $$l^{(p, \infty )}$$ Arab. J. Math. Pub Date : 2023-02-25 J. Lang, O. Méndez
We identify a norm-dense subspace of the dual of the sequence space \(l^{(p,\infty )}\), thus closing the existing gap in the literature. We based our approach on the notion of James orthogonality, absolutely continuous norms and on the uniform convexity and the uniform smoothness of the underlying subspaces.
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On the conservation laws, Lie symmetry analysis and power series solutions of a class of third-order polynomial evolution equations Arab. J. Math. Pub Date : 2023-02-24 B. Gwaxa, Sameerah Jamal, A. G. Johnpillai
In the present paper, we consider a special class of third-order polynomial evolutionary equations. These equations, via Lie theory admit the same one-parameter point transformations which leave the equations invariant. Reductions with these invariant functions lead to highly nonlinear third-order ordinary differential equations. We use a power series to establish interesting solutions to the reduced
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New method for solving non-homogeneous periodic second-order difference equation and some applications Arab. J. Math. Pub Date : 2023-02-23 R. Ben Taher, M. Lassri, M. Rachidi
In the present study, we are interested in solving the nonhomogeneous second-order linear difference equation with periodic coefficients of period \( p\ge 2\), by bringing two new approaches enabling us to provide both analytic and combinatorial solutions to this family of equations. First, we get around the problem by converting this kind of equations to an equivalent family of nonhomogeneous linear
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On monotone pseudocontractive operators and Krasnoselskij iterations in an ordered Hilbert space Arab. J. Math. Pub Date : 2023-02-22 Eduardo Daniel Jorquera Álvarez
The aim of this work is to establish fixed point results in ordered Hilbert spaces for monotone operators with a pseudocontractive property. We state monotone versions of Theorem 12 in [F. E. Browder, W. V. Petryshyn, Construction of fixed points of nonlinear mappings in Hilbert space, J. Math. Anal. Appl. 20 (1967), 197–228] and Theorem 2.1 in [Berinde, Vasile. Weak and strong convergence theorems
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Equilibrium problems on quasi-weighted graphs Arab. J. Math. Pub Date : 2023-02-13 Monther R. Alfuraidan
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A generalization of Lappan’s five point theorem Arab. J. Math. Pub Date : 2023-02-07 Virender Singh, Banarsi Lal
In this paper, we prove the following result: Let \(\mathcal {F}\) be a family of meromorphic functions on a domain D and let \(S=\left\{ \varphi _i:1\le i \le 5\right\} \) be a set of five distinct meromorphic functions on D. If for each \(f \in \mathcal {F}\) and \(z_0 \in D\), there is a constant \(M>0\) such that \(f^{\#}(z_0) \le M\) whenever \(f(z_0)= \varphi (z_0)\) for some \(\varphi \in S\)
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Solving fractional time-delay diffusion equation with variable-order derivative based on shifted Legendre–Laguerre operational matrices Arab. J. Math. Pub Date : 2023-01-16 Adnan Khalaf Farhood, Osama H. Mohammed, Bushra A. Taha
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Existence of classical solutions for a class of nonlinear impulsive evolution partial differential equations Arab. J. Math. Pub Date : 2023-01-12 Saïda Cherfaoui, Svetlin Georgiev Georgiev, Arezki Kheloufi, Karima Mebarki
This paper is devoted to the study of a class of impulsive nonlinear evolution partial differential equations. We give new results about existence and multiplicity of global classical solutions. The method used is based on the use of fixed points for the sum of two operators. Our main results will be illustrated by an application to an impulsive Burgers equation.
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Richards’s curve induced Banach space valued multivariate neural network approximation Arab. J. Math. Pub Date : 2022-12-13 George A. Anastassiou, Seda Karateke
Here, we present multivariate quantitative approximations of Banach space valued continuous multivariate functions on a box or \({\mathbb {R}}^{N},\) \(N\in {\mathbb {N}},\) by the multivariate normalized, quasi-interpolation, Kantorovich-type and quadrature-type neural network operators. We examine also the case of approximation by iterated operators of the last four types. These approximations are
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Global existence and asymptotic behavior for a Timoshenko system with internal damping and logarithmic source terms Arab. J. Math. Pub Date : 2022-12-12 Sebastião Martins Siqueira Cordeiro, Ducival Carvalho Pereira, Carlos Alessandro da Costa Baldez, Carlos Alberto Raposo da Cunha
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Homogenized skew PBW extensions Arab. J. Math. Pub Date : 2022-12-09 Héctor Suárez, Armando Reyes, Yésica Suárez
In this paper, we provide a new and more general filtration to the family of noncommutative rings known as skew PBW extensions. We introduce the notion of \(\sigma \)-filtered skew PBW extension and study some homological properties of these algebras. We show that the homogenization of a \(\sigma \)-filtered skew PBW extension A over a ring R is a graded skew PBW extension over the homogenization of
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Geometry induced by flocks Arab. J. Math. Pub Date : 2022-12-05 Sonia Dog
Using the vectors and symmetry of affine geometry induced by the ternary quasigroup satisfying the para-associative laws, we found the conditions under which such quasigroup becomes a ternary group. The obtained results also give a simple characterization of semiabelian n-ary groups.
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A class of diffusive delayed viral infection models with general incidence function and cellular proliferation Arab. J. Math. Pub Date : 2022-12-05 Alexis Nangue, Willy Armel Tacteu Fokam
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Exact sequences for dual Toeplitz algebras on hypertori Arab. J. Math. Pub Date : 2022-11-28 Lakhdar Benaissa, Hocine Guediri
In this paper, we construct a symbol calculus yielding short exact sequences for the dual Toeplitz algebra generated by all bounded dual Toeplitz operators on the Hardy space associated with the polydisk \({\mathbb {D}}^n\) in the unitary space \({\mathbb {C}}^n\), that have been introduced and well studied in our earlier paper (Benaissa and Guediri in Taiwan J Math 19: 31–49, 2015), as well as for
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Common terms of k-Pell numbers and Padovan or Perrin numbers Arab. J. Math. Pub Date : 2022-11-28 Benedict Vasco Normenyo, Salah Eddine Rihane, Alain Togbé
Let \(k\ge 2\). A generalization of the well-known Pell sequence is the k-Pell sequence. For this sequence, the first k terms are \(0,\ldots ,0,1\) and each term afterwards is given by the linear recurrence $$\begin{aligned} P_n^{(k)}=2P_{n-1}^{(k)}+P_{n-2}^{(k)}+\cdots +P_{n-k}^{(k)}. \end{aligned}$$ In this paper, we extend the previous work (Rihane and Togbé in Ann Math Inform 54:57–71, 2021) and
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Analysis of entropy generation and nonlinear convection on unsteady flow of MHD Prandtl fluid with Soret and Dufour effects Arab. J. Math. Pub Date : 2022-11-18 Sadia Asad, Shehnila Riaz
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Monge–Ampère measures associated with semi-exhaustive functions Arab. J. Math. Pub Date : 2022-11-11 Ahmad K. Al Abdulaali
In this paper, we study the current \(T \wedge \text {{dd}}^{c}\psi \) for positive currents T and semi-exhaustive, not necessarily plurisubharmonic, functions \(\psi \). The study leads to new definitions of capacity and Lelong–Demailly numbers with respect to the weight \(\psi \).
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Nonexistence and umbilicity of spacelike submanifolds with second fundamental form locally timelike Arab. J. Math. Pub Date : 2022-10-28 Henrique F. de Lima, Lucas S. Rocha, Marco Antonio L. Velásquez
Under the assumption that the second fundamental form is locally timelike, we establish new nonexistence and umbilicity results concerning n-dimensional spacelike submanifolds immersed with parallel mean curvature vector in the \((n+p)\)-dimensional de Sitter space \(\mathbb {S}^{n+p}_q\) of index q, such that \(1\le q\le p\). Our approach is based on a Simon’s type inequality involving the norm of
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Isometries on almost Ricci–Yamabe solitons Arab. J. Math. Pub Date : 2022-10-26 Mohan Khatri, C. Zosangzuala, Jay Prakash Singh
The purpose of the present paper is to examine the isometries of almost Ricci–Yamabe solitons. Firstly, the conditions under which a compact gradient almost Ricci–Yamabe soliton is isometric to Euclidean sphere \(S^n(r)\) are obtained. Moreover, we have shown that the potential f of a compact gradient almost Ricci–Yamabe soliton agrees with the Hodge–de Rham potential h. Next, we studied complete gradient
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On some curves in three-dimensional $$\beta $$ -Kenmotsu manifolds Arab. J. Math. Pub Date : 2022-10-26 Şerife Nur Bozdağ, Selcen Yüksel Perktaş, Feyza Esra Erdoğan
This paper is devoted to examine necessary and sufficient conditions for a Frenet curve to be f-harmonic, f-biharmonic, bi-f-harmonic and f-biminimal in three-dimensional \(\beta \)-Kenmotsu manifolds. In addition, such conditions are investigated for slant curves.
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Fixed point approximation for a class of generalized nonexpansive multi-valued mappings in Banach spaces Arab. J. Math. Pub Date : 2022-10-26 Nawab Hussain, Hind Alamri, Saud Alsulami
In this paper, we propose a new iteration process, called multi-valued F-iteration process, for the approximation of fixed points. We introduce a new class of multi-valued generalized nonexpansive mappings satisfying a \(B_{\gamma ,\mu }\) property. Moreover, we establish certain weak and strong convergence theorems in uniformly convex Banach spaces. We also discuss the stability of the modified F-iteration
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New type parallelogram laws in Banach spaces and geodesic spaces with curvature bounded above Arab. J. Math. Pub Date : 2022-10-08 Yasunori Kimura, Shuta Sudo
The parallelogram law characterizes a part of the structure of Hilbert spaces. To hold the parallelogram law by the norm, reasonably good conditions are required for Banach spaces. This paper proposes new type parallelogram laws with bifunctions on Banach spaces and geodesic spaces, respectively.
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A novel accelerated extragradient algorithm to solve pseudomonotone variational inequalities Arab. J. Math. Pub Date : 2022-10-08 Supansa Noinakorn, Nopparat Wairojjana, Nuttapol Pakkaranang, Natttawut Pholasa
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Minimal automorphic superpositions of crowns Arab. J. Math. Pub Date : 2022-09-29 Bernd S. W. Schröder
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Alternative proofs of some classical metric fixed point theorems by using approximate fixed point sequences Arab. J. Math. Pub Date : 2022-09-29 Vasile Berinde, M̆ad̆alina P̆acurar
The notion of approximate fixed point sequence, emphasized in Chidume (Geometric properties of Banach spaces and nonlinear iterations. Lecture Notes in Mathematics, 1965. Springer-Verlag London, Ltd., London, 2009), is a very useful tool in proving convergence theorems for fixed point iterative schemes in the class of nonexpansive-type mappings. In the present paper, our aim is to present simple and
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A new type of fixed point theorem via interpolation of operators with application in homotopy theory Arab. J. Math. Pub Date : 2022-09-30 Mujahid Abbas, Rizwan Anjum, Shakeela Riasat
The purpose of this paper is to introduce the class of multi-valued operators by the technique of interpolation of operators. Our results extend and generalize several results from the existing literature. Moreover, we also study the data dependence problem of the fixed point set and Ulam–Hyers stability of the fixed point problem for the operators introduced herein. Moreover, as an application, we
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Graphical contractions and common fixed points in b-metric spaces Arab. J. Math. Pub Date : 2022-09-26 Adrian Petruşel, Gabriela Petruşel
In this paper, we will prove some fixed point theorems for graphical contractions in complete b-metric spaces. Then, some common fixed point results for a pair of mappings in complete b-metric spaces will be deduced. Our results extend some recent theorems proved in classical metric spaces.