Results 21 to 30 of about 316 (157)

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
doaj   +1 more source

Strong convergence theorems for asymptotically nonexpansive mappings and asymptotically nonexpansive semigroups [PDF]

Fixed Point Theory and Applications, 2006
AbstractStrong convergence theorems are obtained from modified Halpern iterative scheme for asymptotically nonexpansive mappings and asymptotically nonexpansive semigroups, respectively. Our results extend and improve the recent ones announced by Nakajo, Takahashi, Kim, Xu, and some others.
Xiaolong Qin, Yongfu Su
openaire   +4 more sources

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
doaj   +1 more source

The Implicit Midpoint Procedures for Asymptotically Nonexpansive Mappings

Journal of Mathematics, 2020
The concept of asymptotically nonexpansive mappings is an important generalization of the class of nonexpansive mappings. Implicit midpoint procedures are extremely fundamental for solving equations involving nonlinear operators. This paper studies the convergence analysis of the class of asymptotically nonexpansive mappings by the implicit midpoint ...
M. O. Aibinu, S. C. Thakur, S. Moyo
openaire   +5 more sources

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
doaj   +2 more sources

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
doaj   +1 more source

The asymptotic behavior of firmly nonexpansive mappings [PDF]

Proceedings of the American Mathematical Society, 1987
We present several new results on the asymptotic behavior of firmly nonexpansive mappings in Banach spaces and in the Hilbert ball.
Reich, Simeon, Shafrir, Itai
openaire   +2 more sources

New Common Fixed Points for Total Asymptotically Nonexpansive Mapping in CAT(0) Space

, 2021
          تم دراسة التقارب و Δ- تقارب لعملية تكرار من خطوتين بأستخدام تطبيقات اللامتمددة المقاربة (asymptotically nonexpansive) واللامتمددة المقاربة كليآ (total asymptotically nonexpansive) في فضاء CAT(0) وكذلك تم مبرهنة بعض نظريات التقارب القوي باستخدام
Kadhim, Ahmed Jameel
core   +1 more source

Approximation of Fixed Points In CAT(0) Spaces Using A New Three-Step Iteration Process For Asymptotically Quasi-Nonexpansive Mapping

, 2023
In this paper, we introduce a new three-step iteration scheme and establish convergence results for the approximation of fixed points of asymptotically quasi-nonexpansive mapping in the framework of CAT(0) space and also give an example of a nonlinear ...
Tripathi, B.P., Verma, Anurag
core   +1 more source