An existence result for a class of extended inclusion problems with applications to equilibrium problems

作者：Fang YP^*; Huang NJ

来源：Zeitschrift fur Analysis und Ihre Anwendungen, 2006, 25(2): 257-264.

DOI：10.4171/zaa/1288

• extended inclusion problem
• equilibrium problem
• variational inequality
• existence

Let X be a real reflexive Banach space, K subset of X a nonempty, closed and convex set, and F : K x K -> 2(X) (the family of all the subsets of X) be a multi-valued mapping. In this paper, we consider the following extended inclusion problem: find x* is an element of K such that K subset of F(x*, x*). Under suitable conditions, we establish an existence result for the extended inclusion problem. As applications, we give some existence theorems for equilibrium problems.

• 出版日期2006
• 单位四川大学