On the Krasnoselskii-type fixed point theorems for the sum of continuous and asymptotically nonexpansive mappings in Banach spaces

被引:3
作者
Arunchai, Areerat [1 ]
Plubtieng, Somyot [1 ]
机构
[1] Naresuan Univ, Dept Math, Fac Sci, Phitsanulok 65000, Thailand
来源
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2011年
关键词
Krasnoselskii's fixed point theorem; asymptotically nonexpansive mapping; weakly-strongly continuous mapping; uniformly asymptotically regular; measure of weak noncompactness; CONVERGENCE THEOREMS; OPERATORS; EQUATION;
D O I
10.1186/1029-242X-2011-28
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, we prove some results concerning the Krasnoselskii theorem on fixed points for the sum A + B of a weakly-strongly continuous mapping and an asymptotically nonexpansive mapping in Banach spaces. Our results encompass a number of previously known generalizations of the theorem.
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页数:11
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