Results 1 to 10 of about 1,226,787 (172)

Weak and Strong Convergence of an Implicit Iteration Process for an Asymptotically Quasi-I-Nonexpansive Mapping in Banach Space [PDF]

Fixed Point Theory and Applications, 2010
We prove the weak and strong convergence of the implicit iterative process to a common fixed point of an asymptotically quasi-I-nonexpansive mapping T and an asymptotically quasi-nonexpansive mapping I, defined on a nonempty closed convex subset of a ...
Farrukh Mukhamedov, Mansoor Saburov
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-Convergence Problems for Asymptotically Nonexpansive Mappings in CAT(0) Spaces [PDF]

Abstract and Applied Analysis, 2013
New △-convergence theorems of iterative sequences for asymptotically nonexpansive mappings in CAT(0) spaces are obtained. Consider an asymptotically nonexpansive self-mapping of a closed convex subset of a CAT(0) space . Consider the iteration process ,
Luo Yi Shi, Ru Dong Chen, Yu Jing Wu
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A modified viscosity implicit-type proximal point algorithm for monotone inclusions and asymptotically nonexpansive mappings in Hadamard spaces [PDF]

Journal of Inequalities and Applications, 2018
The purpose of this article is to propose a modified viscosity implicit-type proximal point algorithm for approximating a common solution of a monotone inclusion problem and a fixed point problem for an asymptotically nonexpansive mapping in Hadamard ...
Shih-sen Chang, Jen-Chih Yao, Ching-Feng Wen, Lin Wang   +3 more
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Modified Mann Subgradient-like Extragradient Rules for Variational Inequalities and Common Fixed Points Involving Asymptotically Nonexpansive Mappings

Mathematics, 2022
In a real Hilbert space, we aim to investigate two modified Mann subgradient-like methods to find a solution to pseudo-monotone variational inequalities, which is also a common fixed point of a finite family of nonexpansive mappings and an asymptotically
Lu-Chuan Ceng, Yekini Shehu, Jen-Chih Yao   +2 more
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Convergence theorems for total asymptotically nonexpansive mappings in CAT ( κ ) $\operatorname{CAT} (\kappa )$ spaces

Fixed Point Theory and Algorithms for Sciences and Engineering, 2023
The purpose of this paper is to study the convergence theorems in CAT ( κ ) $\operatorname{CAT} (\kappa )$ spaces with k > 0 $k > 0$ for total asymptotically nonexpansive mappings which are essentially wider than nonexpansive mappings, asymptotically ...
Shih-sen Chang, Liangcai Zhao, Min Liu, Jinfang Tang   +3 more
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Iterative algorithm for fixed point problems of generalized nearly asymptotically nonexpansive mappings and solutions of a system of generalized nonlinear variational-like inclusions

Journal of Inequalities and Applications, 2022
This paper is devoted to the study of a class of generalized nonexpansive mappings called generalized nearly asymptotically nonexpansive mappings and to show that it properly includes the class of nearly asymptotically nonexpansive mappings.
Javad Balooee, Shih-sen Chang, Lin Wang
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MODIFIED PROXIMAL POINT ALGORITHM FOR MINIMIZATION AND FIXED POINT PROBLEM IN CAT(0) SPACES

Ural Mathematical Journal, 2021
In this paper, we study modified-type proximal point algorithm for approximating a common solution of a lower semi-continuous mapping and fixed point of total asymptotically nonexpansive mapping in complete CAT(0) spaces.
Godwin Chidi Ugwunnadi
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Stability and Convergence Results Based on Fixed Point Theory for a Generalized Viscosity Iterative Scheme

Fixed Point Theory and Applications, 2009
A generalization of Halpern's iteration is investigated on a compact convex subset of a smooth Banach space. The modified iteration process consists of a combination of a viscosity term, an external sequence, and a continuous nondecreasing function ...
M. De la Sen
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On Mann-Type Subgradient-like Extragradient Method with Linear-Search Process for Hierarchical Variational Inequalities for Asymptotically Nonexpansive Mappings

Mathematics, 2021
We propose two Mann-type subgradient-like extra gradient iterations with the line-search procedure for hierarchical variational inequality (HVI) with the common fixed-point problem (CFPP) constraint of finite family of nonexpansive mappings and an ...
Lu-Chuan Ceng, Jen-Chih Yao, Yekini Shehu   +2 more
doaj   +1 more source

Approximating fixed points of nearly asymptotically nonexpansive mappings in CAT(k) spaces

Arab Journal of Mathematical Sciences, 2018
In this paper we approximate common fixed points of nearly asymptotically nonexpansive mappings under modified S P-iteration process in the setting of CAT(k) spaces and establish strong and Δ-convergence theorems.
Anupam Sharma
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