- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnlilne Submission ㆍMy Manuscript - For Reviewers - For Editors
 Connectedness and compactness of weak efficient solutions for vector equilibrium problems Bull. Korean Math. Soc. 2011 Vol. 48, No. 6, 1225-1233 https://doi.org/10.4134/BKMS.2011.48.6.1225Published online November 1, 2011 Xian Jun Long and Jian Wen Peng Chongqing Technology and Business University, Chongqing Normal University 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. $\bf 133$ (2007), 151--161]. Keywords : vector equilibrium problem, weak efficient solution, scalarization, existence, connectedness MSC numbers : 49J40, 90C31 Full-Text :