On the Stability of Generalized Vector Quasivariational Inequality Problems

S.J. Li, G.Y. Chen and K.L. Teo
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S.J. Li: Chongqing University
G.Y. Chen: Institute of Systems Science
K.L. Teo: Hong Kong Polytechnic University

Journal of Optimization Theory and Applications, 2002, vol. 113, issue 2, No 5, 283-295

Abstract: 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 (search for similar items in EconPapers)
Date: 2002
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Citations: View citations in EconPapers (16)

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DOI: 10.1023/A:1014830925232

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