Moreau’s decomposition in Banach spaces |
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| Authors: | Patrick L Combettes Noli N Reyes |
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| Institution: | 1. Laboratoire Jacques-Louis Lions, UMR CNRS 7598, UPMC Université Paris 06, 75005, Paris, France
2. Institute of Mathematics, University of the Philippines, 1101, Diliman, Quezon City, Philippines
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| Abstract: | Moreau’s decomposition is a powerful nonlinear hilbertian analysis tool that has been used in various areas of optimization and applied mathematics. In this paper, it is extended to reflexive Banach spaces and in the context of generalized proximity measures. This extension unifies and significantly improves upon existing results. |
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