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Characterizing the nonemptiness andboundedness of the solution set forequilibrium problem with set valued mapping
Wang Gang
School of Management Science, Qufu Normal University, Rizhao 276826
*Correspondence author
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Funding: the Doctoral Fund of the Ministry of Education （No.20113705120004）
Opened online:10 November 2015
Accepted by: none
Citation: Wang Gang.Characterizing the nonemptiness andboundedness of the solution set forequilibrium problem with set valued mapping[OL]. [10 November 2015] http://en.paper.edu.cn/en_releasepaper/content/4660095
 
 
This paper is devoted to characterizing the nonemptiness and boundedness of the solution set for equilibrium problem with set-valued mapping in reflexive Banach space. By asymptotic cone technology, the equivalent characterizationson the nonemptiness and boundedness of the solution set for equilibrium problemwith set valued mapping are proposed. Furthermore, under suitable conditions, theequilibrium problem with set valued mapping has a nonempty and bounded solutionset if and only if it is generalized strictly feasible.
Keywords:Operations research, Generalized strict feasibility, asymptotic cone.
 
 
 

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