Upper semicontinuity result for the solution mapping of a mixed parametric generalized vector quasiequilibrium problem with moving cones

Authors:
Le Anh Tuan;Gue Myung Lee;Pham Huu Sach
Affiliations:
Ninh Thuan College of Pedagogy, Ninh Thuan, Vietnam;Division of Mathematical Sciences, Pukyong National University, Pusan, Korea 608-737;Hanoi Institute of Mathematics, Hanoi, Vietnam
Venue:
Journal of Global Optimization
Year:
2010

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Abstract

In this paper, we give sufficient conditions for the upper semicontinuity property of the solution mapping of a parametric generalized vector quasiequilibrium problem with mixed relations and moving cones. The main result is proven under the assumption that moving cones have local openness/local closedness properties and set-valued maps are cone-semicontinuous in a sense weaker than the usual sense of semicontinuity. The nonemptiness and the compactness of the solution set are also investigated.