A Note on the Existence of Nonsmooth Nonconvex Optimization Problems |
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| Authors: | Kazufumi Ito Karl Kunisch |
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| Institution: | 1. Department of Mathematics, North Carolina State University, Raleigh, NC?, 27695-8205, USA
2. Institut für Mathematik, Karl-Franzens-Universit?t Graz, 8010?, Graz, Austria
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| Abstract: | Sufficient conditions for the existence of a solution to an abstract optimization problem in Banach spaces are given, which do not rely on convexity, regularity properties or a straightforward coerciveness assumption. Applications to sparsity-constrained optimization and to problems from mechanics are provided. |
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