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

Authors:
S. J. Li;H. M. Liu;Y. Zhang;Z. M. Fang
Affiliations:
College of Mathematics and Statistics, Chongqing University, Chongqing, China 401331;College of Mathematics and Statistics, Chongqing University, Chongqing, China 401331 and College of Economics and Business Administration, Chongqing University, Chongqing, China 400044;College of Mathematics and Statistics, Chongqing University, Chongqing, China 401331;College of Mathematics and Statistics, Chongqing University, Chongqing, China 401331 and Department of Criminal Investigation, Chongqing Police College, Chongqing, China 401331
Venue:
Journal of Global Optimization
Year:
2013

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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.