Fixed point of asymptotic pointwise nonexpansive semigroups in metric spaces

被引：0

作者：

Saleh Abdullah Al-Mezel

Mohamed Amine Khamsi

机构：

[1] King Abdulaziz University,Department of Mathematics

[2] University of Texas at El Paso,Department of Mathematical Sciences

[3] King Fahd University of Petroleum & Minerals,Department of Mathematics and Statistics

来源：

Fixed Point Theory and Applications | / 2013卷

关键词：

fixed point; hyperbolic metric space; inequality; nearest point projection; Mann process; nonexpansive mapping; semigroup; uniformly convex metric space; uniformly Lipschitzian mapping;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let C be a bounded, closed, convex subset of a uniformly convex metric space (M,d). In this paper, we introduce the concept of asymptotic pointwise nonexpansive semigroups of nonlinear mappings Tt:C→C, i.e., a family such that T0(x)=x, Ts+t=Ts(Tt(x)), and d(Tt(x),Tt(y))≤αt(x)d(x,y), where lim supt→∞αt(x)≤1 for every x∈C. Then we investigate the existence of common fixed points for asymptotic pointwise nonexpansive semigroups. The proof is based on the concept of types extended to one parameter family of points.

引用

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