Asymptotic behavior of almost-orbits of nonexpansive semigroups without convexity

Kodai Mathematical Journal

Hirobumi Kiuchi¹  Wataru Takahashi¹ 

关键词: Fixed point;    nonexpansive mapping;    invariant mean;    almostorbits;   

DOI  :  10.2996/kmj/1138039596

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(12)We first prove a resul on the asymptotic behavior of almost-orbits of nonexpansive semigroups without convexity in a Hilbert space. This is a generalization of results of Rodé [7] and Takahashi [10]. Further we prove a fixed point theorem for Lipschitzian semigroups without convexity. This is a generalization of results of Lau [3], Takahashi [8], [10] and Ishihara [2].

【 授权许可】

Unknown