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
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
收藏
页码:1 / 13
页数:13
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