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Nonempty intersection theorems and system of generalized vector equilibrium problems in FC-spaces

Rong-Hua He|Hong-Xu Li
대한수학회 (The Korean Mathematical Society)|2013.01|대한수학회보 (Bulletin of the KMS)|제50권 제1호|pp. 25-36

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참고문헌

키워드

maximal elementnonempty intersection theoremsystem of generalized vector equilibrium problemsproduct FC-space
주제분류수학

초록

By using some existence theorems of maximal elements for a family of set-valued mappings involving a better admissible set-valued mapping under noncompact setting of FC-spaces, we present some non- empty intersection theorems for a family {Gi}i∈I in product FC-spaces. Then, as applications, some new existence theorems of equilibrium for a system of generalized vector equilibrium problems are proved in product FC-spaces. Our results improve and generalize some recent results.

Abstract

By using some existence theorems of maximal elements for a family of set-valued mappings involving a better admissible set-valued mapping under noncompact setting of FC-spaces, we present some non- empty intersection theorems for a family {Gi}i∈I in product FC-spaces. Then, as applications, some new existence theorems of equilibrium for a system of generalized vector equilibrium problems are proved in product FC-spaces. Our results improve and generalize some recent results.

참고문헌 (23)

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