Convergence Results for Weak Efficiency in Vector Optimization Problems with Equilibrium Constraints |
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| Authors: | Y N Wu T C E Cheng |
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| Affiliation: | (1) Doctor, Department of Mathematics, Chongqing Normal University, Chongqing, China;(2) Chair Professor of Management, Department of Logistics, Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong |
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| Abstract: | In this paper, we consider weak efficiency in vectoroptimization problems with equilibrium constraints. We obtainresults on the convergence of the marginal map, the value, and thesolution sets.This research was supported by Hong Kong Polytechnic University under Grant G-YY33 and byNational Science Foundation of China under Grant 10401043.The authors express their gratitude to Professor Guangya Chen for careful reading of an earlier version of this paper. The authors are grateful to the anonymous referees for helpful comments and constructive suggestions. |
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| Keywords: | Vector optimization problems with equilibriumconstraints weak efficiency lower convergence upper convergence |
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