Connectedness of the sets of weak efficient solutions for generalized vector equilibrium problems |
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| Authors: | Qing-You Liu Xian-Jun Long Nan-jing Huang |
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| Affiliation: | 1.State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation,Southwest Petroleum University,Chengdu Sichuan,P.R. China;2.College of Mathematics and Statistics,Chongqing Technology and Business University,Chongqing,P.R. China;3.Department of Mathematics,Sichuan University,Chengdu Sichuan,P.R. China |
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| Abstract: | In this paper, a generalized vector equilibrium problem is introduced and studied. A scalar characterization of weak efficient
solutions for the generalized vector equilibrium problem is obtained. By using the scalarization result, the existence of
the weak efficient solutions and the connectedness of the set of weak efficient solutions for the generalized vector equilibrium
problem are proved in locally convex spaces. |
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| Keywords: | |
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