Sensitivity analysis of solution mappings of parametric vector quasi-equilibrium problems

  • Authors:
  • Kenji Kimura;Jen-Chih Yao

  • Affiliations:
  • Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, Taiwan, R.O.C. 80424;Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, Taiwan, R.O.C. 80424

  • Venue:
  • Journal of Global Optimization
  • Year:
  • 2008

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Abstract

In this article, we study the parametric vector quasi-equilibrium problem (PVQEP). We investigate existence of solution for PVQEP and continuities of the solution mappings of PVQEP. In particular, results concerning the lower semicontinuity of the solution mapping of PVQEP are presented.