Error Bounds and Implicit Multifunction Theorem in Smooth Banach Spaces and Applications to Optimization |
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| Authors: | Ngai Huynh Van Théra Michel |
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| Institution: | 1. Ecole Normale Supérieure de Quinhon, Vietnam
2. LACO, Université de Limoges, 123 Avenue A. Thomas, 87060, Limoges Cedex, France
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| Abstract: | In this paper we provide an error bound estimate and an implicit multifunction theorem in terms of smooth subdifferentials and abstract subdifferentials. Then, we derive a subdifferential calculus and Fritz–John type necessary optimality conditions for constrained minimization problems. |
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