样式: 排序: IF: - GO 导出 标记为已读
-
Domain Generalization by Functional Regression Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2024-03-04 Markus Holzleitner, Sergei V. Pereverzyev, Werner Zellinger
The problem of domain generalization is to learn, given data from different source distributions, a model that can be expected to generalize well on new target distributions which are only seen thr...
-
Rates of Convergence and Metastability for Chidume’s Algorithm for the Approximation of Zeros of Accretive Operators in Banach Spaces Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2024-02-28 Richard Findling, Ulrich Kohlenbach
In this paper we give a quantitative analysis of an explicit iteration method due to C.E. Chidume for the approximation of a zero of an m-accretive operator A:X→2X in Banach spaces which does not i...
-
Regularized Nyström Subsampling in Covariate Shift Domain Adaptation Problems Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2024-02-23 Hanna L. Myleiko, Sergei G. Solodky
The unsupervised domain adaptation problem with covariate shift assumption is considered. Within the framework of the Reproducing Kernel Hilbert Space concept, an algorithm is constructed that is a...
-
A Source Identification Problem in a Bi-parabolic Equation: Convergence Rates and Some Optimal Results Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2024-02-21 Subhankar Mondal, M. Thamban Nair
This paper is concerned with identification of a spatial source function from final time observation in a bi-parabolic equation, where the full source function is assumed to be a product of time de...
-
CUR and Generalized CUR Decompositions of Quaternion Matrices and their Applications Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2024-02-21 Renjie Xu, Shenghao Feng, Yimin Wei, Hong Yan
Low-rank approximations of quaternion matrices have garnered interest across various applications, such as color images and signal processing. In this paper, we propose the CUR and generalized CUR ...
-
G-phase retrievable frames Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2024-02-22 Maryam Jafarizadeh, Mohammad Ali Hasankhani Fard
In this paper we introduce generalized phase retrievable frames or simply g-phase retrievable frames in real or complex n-dimensional Hilbert space Hn, which include ordinary phase retrievable fram...
-
Quadratic Neural Networks for Solving Inverse Problems Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2024-02-22 Leon Frischauf, Otmar Scherzer, Cong Shi
In this paper we investigate the solution of inverse problems with neural network ansatz functions with generalized decision functions. The relevant observation for this work is that such functions...
-
Properties of Positive Linear Operators Connected with Squared Fundamental Functions Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2024-02-21 Octavian Agratini
The aim of this article is to present a general class of positive linear operators of discrete type related to squared fundamental basis functions. If these operators are expressed by a series, we ...
-
Random Sampling of Mellin Band-Limited Signals Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2024-02-21 Shivam Bajpeyi, Dhiraj Patel, S. Sivananthan
In this paper, we address the random sampling problem for the class of functions in the space of Mellin band-limited functions BT, which are concentrated on a bounded cube. It is established that a...
-
Local Error Bounds for Affine Variational Inequalities on Hilbert Spaces Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2024-02-09 Lim Yongdo, Ngoc Tuan Hoang, Dong Yen Nguyen
This paper gives some results related to the research problem about infinite-dimensional affine variational inequalities raised by N.D. Yen and X. Yang [Affine variational inequalities on normed sp...
-
Bivariate Bernstein Chlodovsky Operators Preserving Exponential Functions and Their Convergence Properties Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2024-02-09 Tuncer Acar, Murat Bodur, Esma Isikli
This paper is devoted to an extension of the bivariate generalized Bernstein-Chlodovsky operators preserving the exponential function exp (2,2) where exp (α,β)=e−αx−βy,α,β∈R0+ and x,y≥0 . For t...
-
Stability Radius of S-Quasimonotone Maps Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2024-02-09 V. T. T. Binh, P. T. An
A map F(·) defined on a nonempty and convex D⊂Rn , which remains pseudomonotone when disturbed by vectors in Rn with sufficiently small norm, is s-quasimonotone (P. T. An, Optimization, Vol. 55 (...
-
Algebras of Calderón-Zygmund Operators on RD Spaces Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2024-02-07 Dandan Wang, Qiquan Fang, Xiangxing Tao, Taotao Zheng
In this paper, by establishing the boundedness of Calderón-Zygmund operators on test functions over RD spaces, and applying the discrete Calderón type reproducing formula, the authors obtain the al...
-
Lagrange Duality and Saddle Point Optimality Conditions for Multiobjective Semi-Infinite Programming with Vanishing Constraints Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2024-02-02 Le Thanh Tung, Dang Hoang Tam, Tran Thien Khai
The objective of this paper is to investigate multiobjective semi-infinite programming problems with vanishing constraints (in brief, MSIPVC). We firstly propose both the vector Lagrange dual probl...
-
An Inertial-Like Algorithm for Solving Common Fixed Point Problems of a Family of Continuous Pseudocontractive Mappings Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-12-24 H. H. Gidey, H. Zegeye, O. A. Boikanyo, D. Kagiso, Y. A. Belay
In this paper, it is our purpose to introduce an inertial-like algorithm for approximating common fixed points of continuous pseudocontractive mappings in the framework of real Hilbert spaces. We p...
-
An Approach for Solving Split Common Fixed Point Problems with Multiple Output Sets That Uses Dynamic Step Sizes Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-12-24 Huanhuan Cui
In this paper, we investigate the split common fixed point problem with multiple output sets and develop novel approaches for effectively approximating its solution. We establish two convergence th...
-
On Proximal Algorithms with Inertial Effects Beyond Monotonicity Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-12-24 Alfredo N. Iusem, R. T. Marcavillaca
Inertial procedures attached to classical methods for solving monotone inclusion and optimization problems, which arise from an implicit discretization of second-order differential equations, have ...
-
How Averaged is the Composition of Two Linear Projections? Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-12-24 Heinz H. Bauschke, Theo Bendit, Walaa M. Moursi
Projection operators are fundamental algorithmic operators in Analysis and Optimization. It is well known that these operators are firmly nonexpansive; however, their composition is generally only ...
-
Finding the Best Proximity Point of Generalized Multivalued Contractions with Applications Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-12-24 Deepesh Kumar Patel, Bhupeshwar Patel
This paper introduces new kind of algorithms for multivalued non-self mapping to obtain the best proximity point without assuming the continuity of involved mapping. Some non-trivial examples are p...
-
An Analysis on the Existence of Mild Solution and Optimal Control for Semilinear Thermoelastic System Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-10-30 Rohit Patel, V. Vijayakumar, Shimpi Singh Jadon, Anurag Shukla
In this article, the main objective is the conversation about the optimal control problem of the semilinear thermoelastic system, in which the control term is placed solely in the thermal equation....
-
Higher Order Difference Operators and Associated Relative Reproducing Kernel Hilbert Spaces Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-10-30 Palle E. T. Jorgensen, James F. Tian
We study multiple notions of Hilbert spaces of functions which, via the respective inner products, reproduce function values, or differences of function values. We do this by extending results from...
-
Mean Inequalities for the Numerical Radius Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-10-30 Fuad Kittaneh, Hamid Reza Moradi, Mohammad Sababheh
Extending certain scalar and norm inequalities, we present new inequalities for the numerical radius, which generalize and refine some known results. Applications of the obtained inequalities inclu...
-
An approach to preserve functions with exponential growth by using modified Lupaş-Kantrovich operators Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-10-30 Neha Kajla, Naokant Deo
As part of this study, we propose a modification of the so-known Lupaş-Kantrovich that preserve exponential function e−x. To support this claim, we estimate the convergence rate of the operators in...
-
Multivariate Zipper Fractal Functions Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-10-30 D. Kumar, A. K. B. Chand, P. R. Massopust
A novel approach to zipper fractal interpolation theory for functions of several variables is presented. Multivariate zipper fractal functions are constructed and then perturbed through free choice...
-
Strong Convergence of Trajectories via Inertial Dynamics Combining Hessian-Driven Damping and Tikhonov Regularization for General Convex Minimizations Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-10-30 Akram Chahid Bagy, Zaki Chbani, Hassan Riahi
Let H be a real Hilbert space, and f:H→R be a convex twice differentiable function whose solution set argminf is nonempty. We investigate the long time behavior of the trajectories of the vanishing...
-
On Hermite-Hadamard-Type Inequalities for Subharmonic Functions Over Circular Ring Domains Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-10-10 Mohamed Jleli, Bessem Samet
In this note, we study the so-called Hermite-Hadamard inequality for the class of subharmonic functions. We first prove an inequality of this type for subharmonic functions over circular ring domai...
-
fgh-Convex Functions and Entropy Bounds Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-10-10 Yamin Sayyari, Mehdi Dehghanian
In this paper, we introduce an universal definition (fgh-convex) that results in several types of convexity. Particular cases of the fgh-convex are for instance the harmonically convex, geometrical...
-
Minimax Principle for Eigenvalues of Dual Quaternion Hermitian Matrices and Generalized Inverses of Dual Quaternion Matrices Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-10-10 Chen Ling, Liqun Qi, Hong Yan
Dual quaternions can represent rigid body motion in 3D spaces, and have found wide applications in robotics, 3D motion modelling and control, and computer graphics. In this paper, we introduce thre...
-
Characterizations and Representations of H-S-Frames in Hilbert Spaces Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-10-10 Yan-Ling Fu, Wei Zhang, Yu Tian
H-S-frame is in essence a more general operator-valued frame than generalized frames. In this paper, we aim at studying the characterizations and representations of H-S-frames in H (Hilbert space)....
-
Perturbation Resilience of Self-Adaptive Step-Size Algorithms for Solving Split Variational Inclusion Problems and their Applications Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-09-01 Yan Tang, Zhihui Ji
In this paper, two viscosity proximal type algorithms involving the superiorization method are presented for solving the split variational inclusion problems in real Hilbert spaces. Strong converge...
-
Statistical Convergence of Sequences of Functions in Neutrosophic Normed Spaces Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-08-23 Vakeel A. Khan, Mohammad Daud Khan, Amit Kumar
In this article, we study the statistical convergence of sequences of functions in neutrosophic normed spaces. We define the concept of statistical pointwise convergence and statistical uniform con...
-
Korneichuk-Stechkin Lemma, Ostrowski and Landau Inequalities, and Optimal Recovery Problems for L-Space Valued Functions Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-08-21 Vladyslav Babenko, Vira Babenko, Oleg Kovalenko
Abstract We prove an analogue of the Korneichuk–Stechkin lemma for functions with values in L-spaces. As applications, we obtain sharp Ostrowski type inequalities and solve problems of optimal recovery of identity and convexifying operators, as well as the problem of integral recovery on the classes of L-space valued functions with given majorant of modulus of continuity. The recovery is done based
-
On Absolute Matrix Summability of Factored Infinite Series and Fourier Series Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-08-17 H. Nedret Özgen
Abstract– In this paper, we have generalized two known theorems dealing with the absolute weighted arithmetic mean summability factors of infinite series and Fourier series to the absolute matrix summability methods. Some new and known results have also been obtained.
-
Convergence Results for Nonlinear Sampling Kantorovich Operators in Modular Spaces Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-08-04 Danilo Costarelli, Mariarosaria Natale, Gianluca Vinti
Abstract In the present paper, convergence in modular spaces is investigated for a class of nonlinear discrete operators, namely the nonlinear multivariate sampling Kantorovich operators. The convergence results in the Musielak-Orlicz spaces, in the weighted Orlicz spaces, and in the Orlicz spaces follow as particular cases. Even more, spaces of functions equipped by modulars without an integral representation
-
Necessary and Sufficient Optimality Conditions for Non-regular Problems Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-08-04 V. Vivanco-Orellana, R. Osuna-Gómez, M. A. Rojas-Medar
Abstract We derive new necessary and sufficient optimality conditions for optimization problems with multi-equality and inequality constraints through the Dubovitskii-Milyutin formalism, characterizing the feasible and tangent directions cones in a neighborhood of a non-regular point. We also establish conditions of 2-regularity under which necessary optimality conditions are non-degenerate. These
-
Tight wavelet frames on zero-dimensional groups. Construction and approximation Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-08-02 Sergey Lukomskii
Abstract We present a method for constructing tight wavelet frames on locally compact zero-dimensional groups. When constructing frames, we do not use the principle of unitary extension. We also consider the approximate properties of the resulting frames for functions from the Sobolev space with logarithmic weight.
-
Variational Inequalities Over the Intersection of Fixed Point Sets of Generalized Demimetric Mappings and Zero Point Sets of Maximal Monotone Mappings Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-08-01 Mohammad Eslamian, Ahmad Kamandi
Abstract In this paper, we consider a variational inequality problem which is defined over the intersection of the set of common fixed points of a finite family of generalized demimetric mappings and the set of common zero points of a finite family of maximal monotone mappings. We propose an iterative algorithm which combines the hybrid steepest descent method with the inertial technique to solve this
-
Strong Convergence Theorem Obtained by a Generalized Projections Method for Solving an Equilibrium Problem and Fixed Point Problems Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-07-30 Mostafa Ghadampour, Ebrahim Soori, Ravi P. Agarwal, Donal O’Regan
Abstract In this paper we introduce a new projection-type algorithm in a reflexive Banach space. Then, using generalized resolvents operators and generalized projections, we prove a strong convergence theorem for computing a common element of the set of fixed points of a Bregman relatively nonexpansive mapping, solutions of an equilibrium problem, fixed points of a resolvent operator and fixed points
-
On the Modification of Mellin Convolution Operator and Its Associated Information Potential Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-07-27 Firat Özsaraç, Ana Maria Acu, Ali Aral, Ioan Raşa
Abstract In this paper, we define a new generalization of Mellin-Gauss-Weierstrass operators that preserve logarithmic functions. We compute logarithmic moments of the new operators and describe the behavior of the modified operators in some weighted spaces. The weighted approximation properties of operators including weighted approximation and weighted quantitative type approximation properties, using
-
A Stable and Convergent Hybridized Discontinuous Galerkin Method for Time-Fractional Telegraph Equations Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-07-26 Sh. Baharlouei, R. Mokhtari
Abstract In this paper, we extend the application of the hybridized discontinuous Galerkin (HDG) method to solve time-fractional telegraph equations. In fact, we use an HDG method for space discretization and L1 and L2 finite difference schemes using non-uniform meshes for time discretization. Thanks to a special kind of discrete Gronwall inequality, we prove that the HDG method is unconditionally
-
Existence of Solutions of Set Quasi-Optimization Problems Involving Minkowski Difference Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-07-15 Le Anh Tuan
Abstract This paper gives verifiable conditions for the existence of solutions of some set quasi-optimization problems involving Minkowski difference, where the objective maps are defined in complete metric spaces. Our proof method is not based on any scalarizing approach, and our existence results are written in terms of the given data of the problems. Several examples are provided. As applications
-
Further Seminorm and Numerical Radius Inequalities for Products and Sums of Operators Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-07-14 Cristian Conde, Kais Feki, Fuad Kittaneh
Abstract Our aim in this article is to establish several new norm and numerical radius inequalities for products and sums of operators acting on a complex Hilbert space (H,〈·,·〉). Some of the obtained inequalities improve well known ones. In addition, by using new techniques, we prove certain new inequalities related to ωA(·) and ||·||A, where ωA(T) and ||T||A denote the A-numerical radius and the
-
A New Existence Result of Equilibria for Vector Equilibrium Problems Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-07-13 Issam Dali, Mohamed Bilal Moustaid
Abstract In this paper, we deal with vector equilibrium problems. We prove the nonemptiness of the solution set for this type of problems in the sequential compactness case and in the absence of convexity and lower semicontinuity assumptions. Some examples are presented and an existence result for countable systems of vector equilibrium problems is stated.
-
Linear Functional Strategy and the Approximate Inverse for Nonlinear Ill-Posed Problems Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-07-03 Fábio Margotti
Abstract This article generalizes the results of the so-called linear functional strategy [R. S. Anderssen, Inverse Problems (Oberwolfach, 1986)], used for fast reconstruction of some particular feature of interest in the solution of a linear inverse problem. Two versions are proposed for nonlinear problems. The first one applies to differentiable forward operators and is based on the One-Step Newton
-
A Novel Halpern-type Algorithm for a Monotone Inclusion Problem and a Fixed Points Problem on Hadamard Manifolds Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-07-03 Huimin He, Jigen Peng, Qinwei Fan
Abstract In this paper, we propose a novel Halpern-type algorithm and prove that the sequence generated by the algorithm converges strongly to the common element of the set of fixed points of the two firmly nonexpansive mappings and the solution set of zero points of the monotone inclusion problems on Hadamard manifolds, the main results in this paper extended and improved some recent related results
-
Corrigendum Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-07-01 George Xianzhi Yuan
Abstract We give the correct statements of Theorem 4.4 and its consequences in Yuan, “Fixed point theorem and related nonlinear analysis by the best approximation method in p-vector spaces” (Numer. Funct. Anal. Optimiz. 44(4): 221 - 295. DOI: 10.1080/01630563.2023.2167088) [Citation1Yuan, G. X. (2023). Fixed point theorem and related nonlinear analysis by the best approximation method in p-vector spaces
-
New Algorithms for Solving the Split Common Zero Point Problem in Hilbert Space Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-06-28 Simeon Reich, Truong Minh Tuyen, Phan Thi Van Huyen
Abstract We introduce new self-adaptive algorithms for solving the split common zero point problem with multiple output sets in Hilbert space. We also apply our main results to solving split feasibility problems with multiple output sets.
-
A Fully Discrete Approximation of a New Two-Temperature Thermoelastic Model Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-06-23 J. Baldonedo, J. R. Fernández, R. Quintanilla
Abstract In this work, we study a new thermoelastic model with two temperatures from the numerical point of view. The problem is written as a coupled linear system whose unknowns are the displacement field and the conductivity and thermodynamic temperatures. An existence and uniqueness result recently proved is recalled. Then, a fully discrete approximation is introduced by using the finite element
-
Locally Hölder Continuity of the Solution Map to a Boundary Control Problem with Finite Mixed Control-State Constraints Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-06-19 Hai Son Nguyen, Tuan Anh Dao
Abstract The local stability of the solution map to a parametric boundary control problem governed by semilinear elliptic equations with finite mixed pointwise constraints is considered in this paper. We prove that the solution map is locally Hölder continuous in L∞L∞ -norm of control variable when the strictly nonnegative second-order optimality conditions are satisfied for the unperturbed problem
-
On a New Norm on the Space of Reproducing Kernel Hilbert Space Operators and Berezin Radius Inequalities Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-06-14 P. Bhunia, M. Gürdal, K. Paul, A. Sen, R. Tapdigoglu
Abstract In this paper, we provide a new norm(α-Berezin norm) on the space of all bounded linear operators defined on a reproducing kernel Hilbert space, which generalizes the Berezin radius and the Berezin norm. We study the basic properties of the α-Berezin norm and develop various inequalities involving the α-Berezin norm. By using the inequalities we obtain various bounds for the Berezin radius
-
Dinkelbach Type Approximation Algorithms for Nonlinear Fractional Optimization Problems Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-06-05 Alexandru Orzan, Radu Precup
Abstract In this paper we establish some approximation versions of the classical Dinkelbach algorithm for nonlinear fractional optimization problems in Banach spaces. We start by examining what occurs if at any step of the algorithm, the generated point desired to be a minimizer can only be determined with a given error. Next we assume that the step error tends to zero as the algorithm advances. The
-
Variational Approaches to a Discrete Elliptic Problem with a Weight Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-05-13 Maisam Boroun, Shapour Heidarkhani
Abstract In this article, we are concerned with the existence of at least one, two and three distinct solutions for discrete boundary value problems driven by the Laplacian. The proof of the main result depends on variational methods. By using a consequence of the local minimum theorem due Bonanno we investigate the existence of at least one solution and two solutions for the problem with the weight
-
Optimality Conditions for Multiobjective Optimization Problems via Image Space Analysis Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-05-12 Yingrang Xu, Shengjie Li
Abstract In this article, optimality conditions on (weak) efficient solutions in multiobjective optimization problems are investigated by using the image space analysis. A class of strong separation functions is constructed by oriented distance functions. Simultaneously, a generalized Lagrange function is introduced by the class of strong separation functions. Then, generalized Karush-Kuhn-Tucker (KKT
-
Total Asymptotically Nonexpansive Mappings and Generalized Variational Inclusion Problems: Algorithmic and Analytical Approach Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-05-12 Javad Balooee, Shih-sen Chang, Min Liu, Jen-Chih Yao
Abstract In this article, we pursue two goals. First, a new iterative scheme based on the resolvent operator method for finding a common element of the set of solutions of a generalized variational inclusion problem and the set of fixed points of a total asymptotically nonexpansive mapping in a real Banach space is constructed. Under some parameters controlling conditions, the strong convergence of
-
Approximation of Nonhomogeneous Random Field from Local Averages Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-05-08 Zhanjie Song, Shuo Zhang
Abstract In this article, we consider the extension of Shannon sampling series reconstruction theorem for nonhomogeneous random fields using local averages sampling, which helps improve certain earlier results. The upper bound of mean square truncation sampling approximation error is more precise, and we establish one approximation result in the almost sure sense.
-
A Stabilized Sequential Quadratic Programming Method for Optimization Problems in Function Spaces Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-04-27 Yuya Yamakawa
Abstract In this paper, we propose a stabilized sequential quadratic programming (SQP) method for optimization problems in function spaces. A form of the problem considered in this paper can widely formulate many types of applications, such as obstacle problems, optimal control problems, and so on. Moreover, the proposed method is based on the existing stabilized SQP method and can find a point satisfying
-
On σ-Subdifferential Polarity and Fréchet σ-Subdifferential Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-04-26 Mohammad Hossein Alizadeh, Javad Hosseinabadi
Abstract The notion of σ-monotone polarity for σ-subdifferential is introduced and studied. Also, the concept of Fréchet σ-subdifferential is introduced and then some results regarding this concept are obtained. In addition, some particular relationships between the σ-subdifferential and Fréchet σ-subdifferential are presented.
-
A Study of an Iteratively-Regularized Simplified Landweber Iteration for Nonlinear Inverse Problems in Hilbert Spaces Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-04-21 Sharad Kumar Dixit
Abstract Lanweber-type methods are a well-known regularization methods to solve linear and nonlinear ill-posed problems. In this article, we consider a simplified form of Landweber method, say, an iteratively-regularized simplified Landweber iteration for solving nonlinear ill-posed problems. We study a detailed convergence analysis of the method under standard conditions on the nonlinearity and the
-
Core–EP Star and Star Core–EP Operators Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-04-05 Katarina S. Stojanović
Abstract In this paper, we will introduce two new classes of generalized Drazin invertible operators on Hilbert space, which are called core–EP star and star core–EP operators, using the core–EP inverse and the adjoint of a given operator. We also represent here a few characterizations of these new operators from two points of view, algebraic and geometrical, and make relations to some familiar inverses
-
Nonsymmetric Algebraic Riccati Equations under the Tensor Product Numer. Funct. Anal. Optim. (IF 1.2) Pub Date : 2023-04-05 Xiongyu Shao, Yimin Wei, Jin-Yun Yuan
Abstract The nonsymmetric algebraic Riccati equation is proposed by using the tensor product. The existence of its minimal nonnegative solution is studied. The sufficient condition of the existence and the uniqueness of the minimal nonnegative solution is given by M-tensor as well. The solution can be obtained by the fast Fourier transform which save computational cost of computing the required solution