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1. Strong convergence theorems of total quasi-ϕ-asymptotically nonexpansive semi-groups in Banach spaces.

Author

Chang, Shih-sen, Chan, Chi Kin, Yang, Li, and Wang, Xiong Rui

Subjects
*STOCHASTIC convergence, *MATHEMATICS theorems, *BANACH spaces, *SEMIGROUPS (Algebra), *ALGORITHMS, *MATHEMATICAL analysis
Abstract

Abstract: The purpose of this article is first to introduce the concept of total quasi-ϕ-asymptotically nonexpansive semigroups which contains many kinds of semi-groups as its special cases, and then to modify the Halpern–Mann-type iteration algorithm for this kind of semi-groups to have the strong convergence under a limit condition only in the framework of Banach spaces. The results presented in the paper improve and extend the corresponding recent results announced by many authors. [Copyright &y& Elsevier]

Published
2013
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