Implicit multifunction theorems in complete metric spaces |
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| Authors: | van Ngai Huynh Huu Tron Nguyen Michel Théra |
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| Institution: | 1. Department of Mathematics, University of Quy Nhon, Quy Nhon, Vietnam
2. Laboratoire XLIM, UMR-CNRS 7252, Université de Limoges, Limoges, France
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| Abstract: | In this paper, we establish some new characterizations of metric regularity of implicit multifunctions in complete metric spaces by using lower semicontinuous envelopes of the distance functions to set-valued mappings. Through these new characterizations it is possible to investigate implicit multifunction theorems based on coderivatives and on contingent derivatives as well as the perturbation stability of implicit multifunctions. |
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