Openness properties for parametric set-valued mappings and implicit multifunctions |
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Authors: | M. Durea |
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Affiliation: | Faculty of Mathematics, “Al. I. Cuza” University, Bd. Carol I, nr. 11, 700506-Ia?i, Romania |
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Abstract: | The aim of this paper is to obtain some openness results in terms of normal coderivative for parametric set-valued mappings acting between infinite dimensional spaces. Then, implicit multifunction results are obtained by simply specializing the openness results. Moreover, we study a kind of metric regularity of the implicit multifunction. The results of the paper generalize several recent results in literature. |
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Keywords: | 90C29 90C26 49J52 |
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