Min-max property in metric spaces with convex structure

被引：8
|
作者：
Gabeleh, M. [1 ]
Kunzi, H. -P. A. [2 ]
机构：
[1] Ayatollah Boroujerdi Univ, Sch Math, Inst Res Fundamental Sci IPM, Dept Math, POB 19395-5746, Tehran, Iran
[2] Univ Cape Town, Dept Math & Appl Math, ZA-7701 Rondebosch, South Africa
来源：
ACTA MATHEMATICA HUNGARICA | 2019年 / 157卷 / 01期
基金：
芬兰科学院; 新加坡国家研究基金会;
关键词：
proximal normal structure; noncyclic relatively nonexpansive mapping; uniformly in every direction convex metric space; RELATIVELY NONEXPANSIVE-MAPPINGS; UNIFORMLY CONVEX; POINT THEOREM; MINIMAL SETS; PROXIMITY;
D O I：
10.1007/s10474-018-0857-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the setting of convex metric spaces, we introduce the two geometric notions of uniform convexity in every direction as well as sequential convexity. They are used to study a concept of proximal normal structure. We also consider the class of noncyclic relatively nonexpansive mappings and analyze the min-max property for such mappings. As an application of our main results we conclude with some best proximity pair theorems for noncyclic mappings.
引用
收藏
页码：173 / 190
页数：18
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