A Note on the Existence of Nonsmooth Nonconvex Optimization Problems

Kazufumi Ito () and Karl Kunisch ()
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Kazufumi Ito: North Carolina State University
Karl Kunisch: Karl-Franzens-Universität Graz

Journal of Optimization Theory and Applications, 2014, vol. 163, issue 3, No 1, 697-706

Abstract: 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.

Keywords: Nonsmooth; Nonconvex optimization; Coerciveness; 49J; 35Q93 (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s10957-014-0552-4

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