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Painlevé-Kuratowski Convergences of the solution sets to perturbed generalized systems

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Abstract

In this paper, we obtain the Painlevé-Kuratowski Convergence of the efficient solution sets, the weak efficient solution sets and various proper efficient solution sets for the perturbed generalized system with a sequence of mappings converging in a real locally convex Hausdorff topological vector spaces.

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Authors and Affiliations

  1. College of Mathematics and Statistics, Chongqing University, Chongqing, 4013031, China

    Zhi-miao Fang & Sheng-jie Li

Authors
  1. Zhi-miao Fang
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  2. Sheng-jie Li
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Correspondence to Zhi-miao Fang.

Additional information

Supported by the National Natural Science Foundation of China (No. 10871216 and 11171362).

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Fang, Zm., Li, Sj. Painlevé-Kuratowski Convergences of the solution sets to perturbed generalized systems. Acta Math. Appl. Sin. Engl. Ser. 28, 361–370 (2012). https://doi.org/10.1007/s10255-012-0149-3

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  • DOI: https://doi.org/10.1007/s10255-012-0149-3

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