Common Fixed Point Theorems for Totally Quasi-G-Asymptotically Nonexpansive Semigroups with the Generalized f-Projection

• 作者: Chunjie Wang Yuanheng Wang
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Totally Quasi-G-Asymptotically NONEXPANSIVE SEMIGROUP Generalized f-Projection Operator Modified Halpern Type Hybrid Iterative Algorithm Strong Convergence Theorem
• 年，卷（期）: 2014,（1）
• 页码范围: 25-34
• 页数: 10页
• 分类号: O1

摘要

In this paper, we introduce some new classes of the totally quasi-G-asymptotically nonexpansive mappings and the totally quasi-G-asymptotically nonexpansive semigroups. Then, with the generalized f-projection operator, we prove some strong convergence theorems of a new modified Halpern type hybrid iterative algorithm for the totally quasi-G-asymptotically nonexpansive semigroups in Banach space. The results presented in this paper extend and improve some corresponding ones by many others.