Stability of approximate solution mappings for generalized Ky Fan inequality

被引：10
作者：
Li, X. B. [1 ]
Lin, Z. [1 ]
Wang, Q. L. [1 ]
机构：
[1] Chongqing Jiaotong Univ, Coll Sci, Chongqing 400074, Peoples R China
来源：
TOP | 2016年 / 24卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Generalized Ky Fan inequality; Stability; Approximate solution mapping; Painleve-Kuratowski convergence; Continuous convergence; SOLUTION SET; LOWER SEMICONTINUITY; EFFICIENT SOLUTIONS; HOLDER CONTINUITY; EQUILIBRIUM;
D O I：
10.1007/s11750-015-0385-9
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
This paper is concerned with the stability for a generalized Ky Fan inequality when it is perturbed by vector-valued bifunction sequence and set sequence. By continuous convergence of the bifunction sequence and Painlev,-Kuratowski convergence of the set sequence, we establish the Painlev,-Kuratowski convergence of the approximate solution mappings of a family of perturbed problems to the corresponding solution mapping of the original problem. Our main results are new and different from the ones in the literature.
引用
收藏
页码：196 / 205
页数：10
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