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

Journal of inequalities and applications

Areerat Arunchai¹ 

关键词: Krasnoselskii's fixed point theorem;    asymptotically nonexpansive mapping;    weakly-strongly continuous mapping;    uniformly asymptotically regular;    measure of weak noncompactness;   

DOI  :  10.1186/1029-242X-2011-28

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY