Upper Semicontinuity of Solution Mappings to Parametric Generalized Vector Quasiequilibrium Problems-Reference-Cited by-同舟云学术

Upper Semicontinuity of Solution Mappings to Parametric Generalized Vector Quasiequilibrium Problems

Published:2015 Issue: Volume:2015 Page:1-6
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Shan Shu-qiang¹,Han Yu¹,Huang Nan-jing¹^ORCID

Affiliation:

1. Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, China

Abstract

We establish the upper semicontinuity of solution mappings for a class of parametric generalized vector quasiequilibrium problems. As applications, we obtain the upper semicontinuity of solution mappings to several problems, such as parametric optimization problem, parametric saddle point problem, parametric Nash equilibria problem, parametric variational inequality, and parametric equilibrium problem.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2015/764187.pdf

Reference30 articles.

1. Lecture Notes in Economics and Mathematical Systems,2005

2. Existence of solutions for a vector variational inequality: An extension of the Hartmann-Stampacchia theorem

3. Existence of a Solution and Variational Principles for Vector Equilibrium Problems

4. Existence of solutions of systems of generalized implicit vector quasi-equilibrium problems

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