Strong Convergence for a Countable Family of Total Quasi-$ϕ$-Asymptotically Nonexpansive Nonself Mappings in Banach Space
Year: 2015
Author: Xiongrui Wang, Jing Quan
Communications in Mathematical Research , Vol. 31 (2015), Iss. 1 : pp. 31–39
Abstract
The purpose of this article is to introduce a class of total quasi-$ϕ$-asymptotically nonexpansive nonself mappings. Strong convergence theorems for common fixed points of a countable family of total quasi-$ϕ$-asymptotically nonexpansive mappings are established in the framework of Banach spaces based on modified Halpern and Mann-type iteration algorithm. The main results presented in this article extend and improve the corresponding results of many authors.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2015.01.04
Communications in Mathematical Research , Vol. 31 (2015), Iss. 1 : pp. 31–39
Published online: 2015-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: strong convergence total quasi-ϕ-asymptotically nonexpansive nonself generalized projection.