THE GENERIC STABILITY OF SOLUTIONS FOR VECTOR QUASI-EQUILIBRIUM PROBLEMS ON HADAMARD MANIFOLDS

被引：15
|
作者：
Nguyen Van Hung [1 ]
Le Xuan Dai [2 ]
Kobis, Elisabeth [3 ]
Yao, Jen-Chih [4 ]
机构：
[1] Posts & Telecommun Inst Technol, Dept Sci Fundamentals, Ho Chi Minh City, Vietnam
[2] Ho Chi Minh City Univ Technol, Vietnam Natl Univ, Dept Appl Math, Ho Chi Minh City, Vietnam
[3] Norwegian Univ Sci & Technol NTNU, Dept Math Sci, N-7491 Trondheim, Norway
[4] China Med Univ, China Med Univ Hosp, Res Ctr Interneural Comp, Taichung 40447, Taiwan
来源：
JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS | 2020年 / 4卷 / 03期
关键词：
Hadamard manifold; Quasi-variational inclusion; Quasi-equilibrium problem; Generic stability;
D O I：
10.23952/jnva.4.2020.3.07
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we first revisit two classes of set-valued vector quasi-equilibrium problems on Hadamard manifolds with established existence conditions of solutions. Then, we establish the generic stability of set-valued mappings whose set of essential points of a map is a dense residual subset of a (Hausdorff) metric space of the set-valued maps. As applications, we study generalized vector quasi-variational-like inequalities and vector quasioptimization problems on Hadamard manifolds.
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页码：427 / 438
页数：12
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