An iterative Algorithm for Hemicontractive Mappings in Banach Spaces

被引：0
|
作者：
Yu, Youli [1 ]
Wu, Zhitao [2 ]
Yang, Pei-Xia [2 ]
机构：
[1] Taizhou Univ, Sch Math & Informat Engn, Linhai 317000, Peoples R China
[2] Tianjin Polytechn Univ, Dept Math, Tianjin 300387, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2012年
关键词：
PSEUDO-CONTRACTIVE MAPPINGS; GENERAL VARIATIONAL-INEQUALITIES; COMMON FIXED-POINTS; FINITE FAMILY; LIPSCHITZ PSEUDOCONTRACTIONS; NONEXPANSIVE-MAPPINGS; CONVERGENCE THEOREMS; ACCRETIVE-OPERATORS; IMPLICIT; ERRORS;
D O I：
10.1155/2012/264103
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We First introduce a three-step iterative algorithm for approximating the fixed points of the hemicontractive mappings in Banach spaces. Consequently, we prove the strong convergence of the proposed algorithm under some assumptions. Since three-step iterations include Ishikawa iterations as special cases, our result continue to hold for these problems. Our main results can be viewed as an important refinement of the previously known results.
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页数：11
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