MULTI-VALUED TOTALLY QUASI-φ-ASYMPTOTICALLY NONEXPANSIVE SEMI-GROUPS AND STRONG CONVERGENCE THEOREMS IN BANACH SPACES  

作　　者：张石生 王林 赵云河 

机构地区：[1]College of Statistics and Mathematics,Yunnan University of Finance and Economics

出　　处：《Acta Mathematica Scientia》2013年第2期589-599,共11页数学物理学报（B辑英文版）

基　　金：supported by the Natural Science Foundation of Yunnan Province (2011FB074)

摘　　要：The purpose of this article is first to introduce the concept of multi-valued to- tally Quasi-φ-asymptotically nonexpansive semi-groups, which contains many kinds of semi- groups as its special cases, and then to modify the Halpern-Mann-type iteration algorithm for multi-valued totally Quasi-cS-asymptotically nonexpansive semi-groups to have the strong convergence under a limit condition only in the framework of Banach spaces. The results presented in this article improve and extend the corresponding results announced by many authors recently.The purpose of this article is first to introduce the concept of multi-valued to- tally Quasi-φ-asymptotically nonexpansive semi-groups, which contains many kinds of semi- groups as its special cases, and then to modify the Halpern-Mann-type iteration algorithm for multi-valued totally Quasi-cS-asymptotically nonexpansive semi-groups to have the strong convergence under a limit condition only in the framework of Banach spaces. The results presented in this article improve and extend the corresponding results announced by many authors recently.

关 键 词：Multi-valued totally Quasi-q^-asymptotically nonexpansive semi-groups mod-ified Halpern-Mann-type iteration multi-valued quasi-qS-symptotically nonex-pansive semi-groups multi-valued quasi-~b-nonexpansive semi-groups multi-valued relatively nonexpansive semi-groups generalized projection 

分 类 号：O177.2[理学—数学] O177.99[理学—基础数学]