Inverse of the Sum of Set-Valued Mappings and Applications |
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Authors: | Boualem Alleche |
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Institution: | Laboratoire PTEA, Faculté des Sciences, Université de Médéa, Médéa, Algeria |
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Abstract: | In this article, we develop results on the behavior of fixed points sets of set-valued pseudo-contraction mappings. Then, we investigate the notions related to the Aubin property and make use of connections between the two involved set-valued nonnecessarily Lipschitzian mappings to obtain results on the inverse of their sum similar to those in the literature generalizing Lyusternik and Graves theorems. By proximal convergence, we apply our results to the sensitivity analysis of variational inclusions. |
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Keywords: | Aubin property fixed point proximal convergence pseudo-Lipschitzian set-valued mapping |
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