数学物理学报 ›› 2011, Vol. 31 ›› Issue (4): 923-929.

• 论文 • 上一篇    下一篇

强向量均衡问题

傅俊义   

  1. 南昌大学 数学系 南昌 330031
  • 收稿日期:2009-06-30 修回日期:2010-11-09 出版日期:2011-08-25 发布日期:2011-08-25
  • 基金资助:

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

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

摘要:

提出一个具移动锥的强向量均衡问题, 得到它的解的存在性与解集的闭性. 作为其应用, 得到强向量F -隐式变分不等式与强向量F -隐式互补问题的解.

关键词: 强向量均衡问题, 锥连续性, Fan-KKM定理, 强向量变分不等式, 强向量互补问题

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

中图分类号: 

  • 49J