Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (4): 923-929.

• Articles • Previous Articles     Next Articles

A Strong Vector Equilibrium Problem

 FU Jun-Yi   

  1. Department of Mathematics, Nanchang University, Nanchang 330031
  • Received:2009-06-30 Revised:2010-11-09 Online:2011-08-25 Published:2011-08-25
  • Supported by:

    国家自然科学基金(11061023)和江西省自然科学基金(2010GZS0145)资助

Abstract:

In this paper, a strong vector equilibrium problem with moving cones is presented, and the existence of its solution and the closedness of  solution set are established. As applications, existence of solutions for strong vector F-implicit variational inequality problems and strong vector F-implicit complementarity problems is derived.

Key words: Strong vector equilibrium problem, Cone-continuity, Fan-KKM theorem, Strong vector variational inequality, Strong vector complementarity problem

CLC Number: 

  • 49J
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