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：
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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.
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