A new KKM theorem in L-convex spaces and some applications

作者：Wen Kai Ting^*

来源：Computers & Mathematics with Applications, 2008, 56(11): 2781-2785.

DOI：10.1016/j.camwa.2008.07.014

• L-convex space
• KKM theorem
• Fixed point
• Maximal element
• Equilibrium

In this paper, a new KKM theorem is established in L-convex spaces. As applications, a Ky Fan matching theorem for compactly open covers, a Fan-Browder coincidence theorem, a Fan-Browder fixed point theorem and a maximal element theorem are obtained in L-convex spaces. These theorems unify, improve and generalize some recent results in the references therein. Finally, the equilibrium existence theorems for abstract economies and qualitative games in L-convex spaces are yielded.

• 出版日期2008-12
• 单位贵州工程应用技术学院