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

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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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Authors and Affiliations

  1. Ninh Thuan College of Pedagogy, Ninh Thuan, Vietnam

    Le Anh Tuan

  2. Division of Mathematical Sciences, Pukyong National University, 599-1, Daeyeon-3 Dong, Nam-Gu, Pusan, 608-737, Korea

    Gue Myung Lee

  3. Hanoi Institute of Mathematics, Hanoi, Vietnam

    Pham Huu Sach

Authors
  1. Le Anh Tuan
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  2. Gue Myung Lee
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  3. Pham Huu Sach
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Correspondence to Gue Myung Lee.

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Tuan, L.A., Lee, G.M. & Sach, P.H. Upper semicontinuity result for the solution mapping of a mixed parametric generalized vector quasiequilibrium problem with moving cones. J Glob Optim 47, 639–660 (2010). https://doi.org/10.1007/s10898-009-9483-2

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  • DOI: https://doi.org/10.1007/s10898-009-9483-2

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