Generic Well-Posedness of Fixed Point Problems

被引：16
作者：
Reich S. [1 ]
Zaslavski A.J. [1 ]
机构：
[1] Department of Mathematics, The Technion – Israel Institute of Technology, Haifa
来源：
Vietnam Journal of Mathematics | 2018年 / 46卷 / 1期
基金：
以色列科学基金会;
关键词：
Affine mapping; Complete metric space; Fixed point; Nonexpansive mapping; Order-preserving mapping; Well-posedness;
D O I：
10.1007/s10013-017-0251-1
中图分类号：
学科分类号：
摘要：
We study generic well-posedness of fixed point problems for certain complete metric spaces of mappings. We first establish the equivalence of this generic well-posedness to certain assumptions which are not difficult to verify. Then, we show that several known results in the literature can be deduced from these equivalences. © 2017, Vietnam Academy of Science and Technology (VAST) and Springer Science+Business Media Singapore.
引用
收藏
页码：5 / 13
页数：8
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