Endpoints of multivalued nonexpansive mappings in geodesic spaces

被引：17

作者：

Panyanak, Bancha ^{[1
]}

机构：

[1] Chaing Mai Univ, Fac Sci, Dept Math, Chiang Mai 50200, Thailand

来源：

FIXED POINT THEORY AND APPLICATIONS | 2015年

关键词：

endpoint; fixed point; multivalued nonexpansive mapping; Banach space; CAT(0) space; FIXED-POINTS; METRIC-SPACES; ASYMPTOTIC CONTRACTIONS; BANACH-SPACES; THEOREM; CONVERGENCE;

D O I：

10.1186/s13663-015-0398-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X be either a uniformly convex Banach space or a reflexive Banach space having the Opial property. It is shown that a multivalued nonexpansive mapping on a bounded closed convex subset of X has an endpoint if and only if it has the approximate endpoint property. This is the first result regarding the existence of endpoints for such kind of mappings even in Hilbert spaces. The related result in a complete CAT(0) space is also given.

引用

页数：11

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