A Note on Homotopic Invariance for Endpoints of Multi-Valued Contractive Mappings

被引:0
|
作者
Panyanak, Bancha [1 ,2 ]
机构
[1] Chiang Mai Univ, Fac Sci, Dept Math, Res Ctr Math & Appl Math, Chiang Mai 50200, Thailand
[2] CHE, Ctr Excellence Math, Bangkok 10400, Thailand
来源
THAI JOURNAL OF MATHEMATICS | 2020年 / 18卷 / 02期
关键词
homotopic invariance; endpoint; multi-valued contractive mapping; uniformly convex Banach space; Opial property; FIXED-POINTS; SET;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we prove the homotopic invariance for endpoints of multi-valued contractive mappings in Banach spaces. We also give an example to illustrate the main result. At the same time, a question raised in [B. Panyanak, The demiclosed principle for multi-valued nonexpansive mappings in Banach spaces, J. Nonlinear Convex Anal. 17 (2016) 2063-2070] is answered in the negative.
引用
收藏
页码:669 / 675
页数:7
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