In this paper,a better admissible class B+is introduced and a new fixed point theorem for better admissible multimap is proved on abstract convex spaces.As a consequence,we deduce a new fixed point theorem on abstract...In this paper,a better admissible class B+is introduced and a new fixed point theorem for better admissible multimap is proved on abstract convex spaces.As a consequence,we deduce a new fixed point theorem on abstract convexФ-spaces.Our main results generalize some recent work due to Lassonde,Kakutani,Browder.展开更多
In this paper,we introduce the concept of weakly KKM map on an abstract convex space without any topology and linear structure,and obtain Fan＇s matching theorem and intersection theorem under very weak assumptions on...In this paper,we introduce the concept of weakly KKM map on an abstract convex space without any topology and linear structure,and obtain Fan＇s matching theorem and intersection theorem under very weak assumptions on abstract convex spaces.Finally,we give several minimax inequality theorems as applications.These results generalize and improve many known results in recent literature.展开更多
In this paper,a new GLKKM theorem in L-convex spaces is established.As applications,a new fixed point theorem and a maximal element theorem are obtained in Lconvex spaces.Finally,equilibrium existence theorems for eco...In this paper,a new GLKKM theorem in L-convex spaces is established.As applications,a new fixed point theorem and a maximal element theorem are obtained in Lconvex spaces.Finally,equilibrium existence theorems for economies and qualitative games in L-convex spaces are yielded.展开更多
基金Supported by the National Science Foundation of China(Grant 10626025)Research Grant of Chongqing Key Laboratory of Operations Research and System Engineering
文摘In this paper,a better admissible class B+is introduced and a new fixed point theorem for better admissible multimap is proved on abstract convex spaces.As a consequence,we deduce a new fixed point theorem on abstract convexФ-spaces.Our main results generalize some recent work due to Lassonde,Kakutani,Browder.
基金Supported by the National Natural Science Foundation of China (Grant No.10361005)
文摘In this paper,we introduce the concept of weakly KKM map on an abstract convex space without any topology and linear structure,and obtain Fan＇s matching theorem and intersection theorem under very weak assumptions on abstract convex spaces.Finally,we give several minimax inequality theorems as applications.These results generalize and improve many known results in recent literature.
基金Supported by the Natural Science Foundation of Guizhou Province（[2011]2093）Supported by the Natural Scientific Research Foundation of Guizhou Provincial Education Department of China（2008072）
文摘In this paper,a new GLKKM theorem in L-convex spaces is established.As applications,a new fixed point theorem and a maximal element theorem are obtained in Lconvex spaces.Finally,equilibrium existence theorems for economies and qualitative games in L-convex spaces are yielded.
