On existence of fixed points for pointwise eventually nonexpansive mappings

被引：0
作者：
S. Rajesh
机构：
[1] Indian Institute of Technology Tirupati,Department of Mathematics
来源：
Journal of Fixed Point Theory and Applications | 2017年 / 19卷
关键词：
Pointwise eventually nonexpansive mappings; fixed points; uniform normal structure; Primary 47H10; Secondary 47H09;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Kirk and Xu introduced the concept of pointwise eventually nonexpansive maps and raised the question: “Does a Banach space X have the fixed point property for pointwise eventually nonexpansive mappings whenever X has the fixed point property for nonexpansive mappings?” Butsan et al. proved that nearly uniform convex Banach spaces have fixed point property for pointwise eventually nonexpansive mappings. In this paper, we prove that X has the fixed point property for pointwise eventually nonexpansive mappings if X has uniform normal structure or X is uniformly convex in every direction.
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页码：2177 / 2184
页数：7
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