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http://dx.doi.org/10.4134/BKMS.2011.48.6.1225

CONNECTEDNESS AND COMPACTNESS OF WEAK EFFICIENT SOLUTIONS FOR VECTOR EQUILIBRIUM PROBLEMS  

Long, Xian Jun (College of Mathematics and Statistics Chongqing Technology and Business University)
Peng, Jian Wen (Department of Mathematics Chongqing Normal University)
Publication Information
Bulletin of the Korean Mathematical Society / v.48, no.6, 2011 , pp. 1225-1233 More about this Journal
Abstract
In this paper, without assumption of monotonicity, we study the compactness and the connectedness of the weakly efficient solutions set to vector equilibrium problems by using scalarization method in locally convex spaces. Our results improve the corresponding results in [X. H. Gong, Connectedness of the solution sets and scalarization for vector equilibrium problems, J. Optim. Theory Appl. 133 (2007), 151-161].
Keywords
vector equilibrium problem; weak efficient solution; scalarization; existence; connectedness;
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