Convergence Results for Henig Proper Efficient Solution Sets of Vector Optimization Problems |
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| Authors: | Xiao-bing Li Zai-yun Peng Zhi Lin |
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| Institution: | 1. College of Sciences , Chongqing Jiaotong University , Chongqing , P. R. China cqjtulixb@yeah.net;3. College of Sciences , Chongqing Jiaotong University , Chongqing , P. R. China |
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| Abstract: | In this article, we discuss the convergence of Henig proper minimal point sets and Henig proper efficient solution sets for (strict) proper quasi-convex vector optimization problems when the data of the perturbed problems converges to the data of the original problem in the sense of Painlevé-Kuratowski. Our main results are new and different from those in the literature. |
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| Keywords: | Γ C -convergence Henig proper efficiency Painlevé-Kuratowski convergence Proper quasi-cone convexity Set convergence |
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