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.

引用

页码：427 / 438

页数：12

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