On stationary points of nonexpansive set-valued mappings

被引：0
|
作者：
Rafa Espínola
Meraj Hosseini
Kourosh Nourouzi
机构：
[1] Universidad de Sevilla,Dpto. de Análisis Matemático, IMUS (Instituto Matemático de la Universidad de Sevilla)
[2] K. N. Toosi University of Technology,Faculty of Mathematics
来源：
Fixed Point Theory and Applications | / 2015卷
关键词：
stationary point; nonexpansive set-valued mapping; approximate stationary sequence; normal structure; weakly compact set; 54C60; 47H09;
D O I：
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学科分类号：
摘要：
In this paper we deal with stationary points (also known as endpoints) of nonexpansive set-valued mappings and show that the existence of such points under certain conditions follows as a consequence of the existence of approximate stationary sequences. In particular we provide abstract extensions of well-known fixed point theorems.
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