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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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
Keywords
- Painlevé-Kuratowski convergence
- Gamma-convergence
- continuous convergence
- perturbed generalized systems
- Scalarization