Existence of strong solutions for generalized vector equilibrium problems in Banach spaces
首发时间:2016-06-24
Abstract:The purpose of this paper is to study the existence of strong solutions for the generalizedvector equilibrium problem (for short, GVEP) with a variable ordering relation in reflexive Banachspaces. The existence theorem of strong solutions of the GVEP for monotone multifunction isestablished by virtue of the KKM-Fan theorem. The result is the extension and improvement ofsome corresponding ones in the literature.
keywords: Generalized vector equilibrium problem existence reflexive Banach space KKM-Fantheorem variable ordering relation.
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Banach空间中广义向量平衡问题强解存在性
摘要:在自反Banach空间中, 研究了带变序关系的广义向量平衡问题(GVEP)强解的存在性。利用KKM-Fan定理, 建立了关于单调多值函数的广义向量平衡问题强解的存在定理, 改进与推广了文献中的一些相应结果。
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No.4698299805245146****
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