广义凸空间上重合点定理和极大极小不等式  

Coincidence Point Theorems and Minimax Inequalities on Generalized Convex Spaces

作　　者：朴勇杰[1] 朴东哲[1] 

机构地区：[1]延边大学理学院数学系,吉林延吉133002

出　　处：《数学的实践与认识》2011年第23期178-183,共6页Mathematics in Practice and Theory

基　　金：吉林省教育厅科研项目(吉教科合字[2011]第434号)

摘　　要：利用已知的KKM型定理,在广义空间上得到若干个新的重合点定理和推广的Fan-Browder型不动点定理,并且讨论了Von Newmann-Sion型极大极小不等式.主要结果改进和推广了文献中的相应结论.By using well-known KKM type theorems, some new Ky Fan type coincidence theorems and generalized Fan-Browder type fixed point theorems on generalized convex spaces were obtained, and then Von Neumann-Sion type minimax inequlaties were discussed. The main results improve and generalize the corresponding results in the recent literature.

关 键 词：G-凸空间 下半连续 上半连续 KKK映射 Γ-凸子集 重合点 

分 类 号：O178[理学—数学]