Fixed point theorems for a semigroup of generalized asymptotically nonexpansive mappings in CAT(0) spaces

被引：0

作者：

Withun Phuengrattana

Suthep Suantai

机构：

[1] Chiang Mai University,Department of Mathematics, Faculty of Science

[2] CHE,Centre of Excellence in Mathematics

来源：

Fixed Point Theory and Applications | / 2012卷

关键词：

fixed point; semitopological semigroup; reversible semigroup; amenable semigroup; generalized asymptotically nonexpansive semigroup; CAT(0) spaces;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we prove the existence of common fixed points for a generalized asymptotically nonexpansive semigroup {Ts:s∈S} in CAT(0) spaces, when S is a left reversible semitopological semigroup. We also prove Δ- and strong convergence of such a semigroup when S is a right reversible semitopological semigroup. Our results improve and extend the corresponding results existing in the literature.

引用

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