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

作　　者：Chunjie Wang Yuanheng Wang 

机构地区：[1]Department of Mathematics, Zhejiang Normal University, Jinhua, China

出　　处：《Applied Mathematics》2014年第1期25-34,共10页应用数学（英文）

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.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.

关 键 词：Totally Quasi-G-Asymptotically NONEXPANSIVE SEMIGROUP Generalized f-Projection Operator Modified Halpern Type Hybrid Iterative Algorithm Strong Convergence Theorem 

分 类 号：O1[理学—数学]