Strong Convergence Theorems for a Countable Family of Total Quasi-ϕ-Asymptotically Nonexpansive Nonself Mappings-Reference-Cited by-同舟云学术

Strong Convergence Theorems for a Countable Family of Total Quasi-ϕ-Asymptotically Nonexpansive Nonself Mappings

Published:2012 Issue: Volume:2012 Page:1-12
ISSN:1110-757X
Container-title:Journal of Applied Mathematics
language:en
Short-container-title:Journal of Applied Mathematics

Author:

Zhao Liang-cai¹,Chang Shih-sen²

Affiliation:

1. College of Mathematics, Yibin University, Yibin 644000, China

2. College of Statistics and Mathematics, Yunnan University of Finance and Economics, Yunnan, Kunming 650221, China

Abstract

The purpose of this paper is to introduce a class of total quasi-ϕ-asymptotically nonexpansive-nonself mappings and to study the strong convergence under a limit condition only in the framework of Banach spaces. As an application, we utilize our results to study the approximation problem of solution to a system of equilibrium problems. The results presented in the paper extend and improve the corresponding results announced by some authors recently.

Funder

Sichuan Provincial Education Department

Publisher

Hindawi Limited

Subject

Applied Mathematics

Link

http://downloads.hindawi.com/journals/jam/2012/136134.pdf

Reference25 articles.

1. Strong convergence theorems by Halpern–Mann iterations for relatively nonexpansive mappings in Banach spaces

2. Strong and weak convergence theorems for asymptotically nonexpansive mappings

3. Modified block iterative algorithm for Quasi-ϕ-asymptotically nonexpansive mappings and equilibrium problem in banach spaces

4. A new hybrid method for solving a generalized equilibrium problem, solving a variational inequality problem and obtaining common fixed points in Banach spaces, with applications

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