Continuity of the solution mappings to parametric generalized strong vector equilibrium problems

Continuity of the solution mappings to parametric generalized strong vector equilibrium problems

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Article ID: iaor20131936
Volume: 55
Issue: 3
Start Page Number: 597
End Page Number: 610
Publication Date: Mar 2013
Journal: Journal of Global Optimization
Authors: , , ,
Keywords: vector optimization, mapping
Abstract:

In this paper, we establish the upper semicontinuity and lower semicontinuity of solution mappings to a parametric generalized strong vector equilibrium problem with setvalued mappings by using a scalarization method and a density result. The results improve the corresponding ones in the literature. Some examples are given to illustrate our results.

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