In this paper ,we introduce a class of generalized mapping called transfer open orclosed valued mapping to generalize the KKM theorem on H-space.Then asapplications,using our H-KKM theorem,we prove some coincidence th...In this paper ,we introduce a class of generalized mapping called transfer open orclosed valued mapping to generalize the KKM theorem on H-space.Then asapplications,using our H-KKM theorem,we prove some coincidence theorems.matching theorems and vector valued minimax inequalities which generalize slightly thecorresponding results in[1,2,4,5,6,7].展开更多
The concept of FC-closed subset in FC-space without any linear structure was introduced. Then, the generalized KKM theorem is proved for FC-closed value mappings under some conditions. The FC-space in the theorem is t...The concept of FC-closed subset in FC-space without any linear structure was introduced. Then, the generalized KKM theorem is proved for FC-closed value mappings under some conditions. The FC-space in the theorem is the generalization of L-convex space and the condition of the mapping with finitely FC-closed value is weaker than that with finitely L-closed value.展开更多
In this paper we give 4 futher generalization of the KKM theorem in tying up with a strongly decomposable mapping, hence some equivalent forms such as KKM-type theorems, matching theorems and coincidence theorems.
Some KKM theorems and coincidence theorems involving admissible set-valued mappings and the set-valued mappings with compactly local intersection property are proved in L-convex: spaces. As applications, some new fixe...Some KKM theorems and coincidence theorems involving admissible set-valued mappings and the set-valued mappings with compactly local intersection property are proved in L-convex: spaces. As applications, some new fixed point theorems are obtained in L-convex spaces. These theorems improve and generalize many important known results in recent literature.展开更多
In this paper some new types of KKM theorem and section theorems are given.As applications, the existence problems of solutions for three kinds of variationalinequalities and fixed point problem for set-valued mapping...In this paper some new types of KKM theorem and section theorems are given.As applications, the existence problems of solutions for three kinds of variationalinequalities and fixed point problem for set-valued mapping have been siudied by usingthose results. The results presented in this paper improve and extend the main resultsin [1 - 19].展开更多
文摘In this paper ,we introduce a class of generalized mapping called transfer open orclosed valued mapping to generalize the KKM theorem on H-space.Then asapplications,using our H-KKM theorem,we prove some coincidence theorems.matching theorems and vector valued minimax inequalities which generalize slightly thecorresponding results in[1,2,4,5,6,7].
文摘The concept of FC-closed subset in FC-space without any linear structure was introduced. Then, the generalized KKM theorem is proved for FC-closed value mappings under some conditions. The FC-space in the theorem is the generalization of L-convex space and the condition of the mapping with finitely FC-closed value is weaker than that with finitely L-closed value.
文摘In this paper we give 4 futher generalization of the KKM theorem in tying up with a strongly decomposable mapping, hence some equivalent forms such as KKM-type theorems, matching theorems and coincidence theorems.
基金the NNSF of China(19871059)and the NSF of Education Department of Sichuan Province([2000]25)
文摘Some KKM theorems and coincidence theorems involving admissible set-valued mappings and the set-valued mappings with compactly local intersection property are proved in L-convex: spaces. As applications, some new fixed point theorems are obtained in L-convex spaces. These theorems improve and generalize many important known results in recent literature.
文摘In this paper some new types of KKM theorem and section theorems are given.As applications, the existence problems of solutions for three kinds of variationalinequalities and fixed point problem for set-valued mapping have been siudied by usingthose results. The results presented in this paper improve and extend the main resultsin [1 - 19].
