Generalized L-R-KKM Type Theorems and Applications in L-convex Spaces

FANG Min,DING Xieping (College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan)  

As a generalization of classical KKM mapping, a new class of generalized LRKKM type mappings is introduced in Lconvex spaces. Some generalized LRKKM type theorems are proved under noncompact setting of Lconvex spaces. As applications, a minimax inequality and a saddle point theorem are established in noncompact Lconvex spaces. These theorems improve and generalize the corresponding results in recent literature.

【Fund】： 四川省教育厅重点科研基金资助项目
【CateGory Index】： O177.9

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