On stationary points of nonexpansive set-valued mappings

被引：10

作者：

Espinola, Rafa ^{[1
]}

Hosseini, Meraj ^{[2
]}

Nourouzi, Kourosh ^{[2
]}

机构：

[1] Univ Seville, IMUS, Dept Anal Matemat, C Tarfia S-N, E-41012 Seville, Spain

[2] KN Toosi Univ Technol, Fac Math, Tehran, Iran

来源：

FIXED POINT THEORY AND APPLICATIONS | 2015年

关键词：

stationary point; nonexpansive set-valued mapping; approximate stationary sequence; normal structure; weakly compact set; FIXED-POINTS; END-POINTS; ASYMPTOTIC CONTRACTIONS; SPACES; PROPERTY; THEOREM; WEAK;

D O I：

10.1186/s13663-015-0481-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：1 / 13

页数：13

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