Generalized Vector Equilibrium Problems with Trifunctions

  • Authors:
  • Y. Chiang;O. Chadli;J. C. Yao

  • Affiliations:
  • Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, Taiwan, R.O.C 80424;Center of Economic Studies, University Ibn Zohr, Morocco;Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, Taiwan, R.O.C 80424

  • Venue:
  • Journal of Global Optimization
  • Year:
  • 2004

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Abstract

In this paper, we study the existence of strong and weak solutions of the generalized vector equilibrium problems for trifunctions. Two special classes of vector-valued trifunctions are introdcued, called the classes of (SPM) and (GPM), respectively. Some existence results for strong solutions associated to functions of these classes are given.