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On the Stability of Generalized Vector Quasivariational Inequality Problems
Authors:SJ Li  GY Chen  KL Teo
Institution:(1) Department of Applied Mathematics, College of Sciences, Chongqing University, Chongqing, China;(2) Present address: Department of Applied Mathematics, Hong Kong Polytechnic University, Kowloon, Hong Kong;(3) Chinese Academy of Sciences, Institute of Systems Science, Beijing, China;(4) Department of Applied Mathematics, Hong Kong Polytechnic University, Kowloon, Hong Kong
Abstract:In this paper, we obtain some stability results for generalized vector quasivariational inequality problems. We prove that the solution set is a closed set and establish the upper semicontinuity property of the solution set for perturbed generalized vector quasivariational inequality problems. These results extend those obtained in Ref. 1. We obtain also the lower semicontinuity property of the solution set for perturbed classical variational inequalities. Several examples are given for the illustration of our results.
Keywords:Generalized vector quasivariational inequality problems  classical variational inequality problems  stability  upper semicontinuity  lower semicontinuity
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