Upper semicontinuity result for the solution mapping of a mixed parametric generalized vector quasiequilibrium problem with moving cones |
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Authors: | Le Anh Tuan Gue Myung Lee Pham Huu Sach |
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Affiliation: | 1.Ninh Thuan College of Pedagogy,Ninh Thuan,Vietnam;2.Division of Mathematical Sciences,Pukyong National University,Pusan,Korea;3.Hanoi Institute of Mathematics,Hanoi,Vietnam |
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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. |
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