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Existence of strong solutions for generalized vector equilibrium problems in Banach spaces
ZENG Liu-Chuan
Department of Mathematics, Shanghai Normal University, Shanghai 200234
*Correspondence author
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Funding: *** Program for OutstandingAcademic Leaders in Shanghai City （No.15XD1503100）, *** Innovation Program of Shanghai Municipal Education Commission （No.15ZZ068）, *** Ph.D. Program Foundation of Ministry of Education of China （No.20123127110002）
Opened online:24 June 2016
Accepted by: none
Citation: ZENG Liu-Chuan.Existence of strong solutions for generalized vector equilibrium problems in Banach spaces[OL]. [24 June 2016] http://en.paper.edu.cn/en_releasepaper/content/4698299
 
 
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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