The Chebyshev selections and fixed points of set-valued mappings in Banach spaces with some uniform convexity

被引：5
作者：
Xiao, Jian-Zhong [1 ]
Zhu, Xing-Hua [1 ]
机构：
[1] Nanjing Univ Informat Sci & Technol, Coll Math & Phys, Nanjing 210044, Peoples R China
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2011年 / 54卷 / 5-6期
基金：
中国国家自然科学基金;
关键词：
Set-valued mapping; Chebyshev center; Uniformly convex; Locally uniformly convex; Chebyshev fixed point; CENTERS;
D O I：
10.1016/j.mcm.2011.04.029
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
The existence of a continuous Chebyshev selection for a Hausdorff continuous set-valued mapping is studied in a Banach space with some uniform convexity. As applications, some existence results of Chebyshev fixed point for condensing set-valued mappings are given, and the existence of Chebyshev solutions for an integral inclusion is proved. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1576 / 1583
页数：8
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