Metric Inequality Conditions on Sets and Consequences in Optimization

Marius Durea (), Diana Maxim () and Radu Strugariu ()
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Marius Durea: “Alexandru Ioan Cuza” University
Diana Maxim: “Alexandru Ioan Cuza” University
Radu Strugariu: “Gheorghe Asachi” Technical University

Journal of Optimization Theory and Applications, 2021, vol. 189, issue 3, No 3, 744-771

Abstract: Abstract We study the implications of a well-known metric inequality condition on sets to the applicability of standard necessary optimality conditions for constrained optimization problems when a new constraint is added. We compare this condition with several other constraint qualification conditions in the literature, and due to its metric nature, we apply it to nonsmooth optimization problems in order to perform first a penalization and then to give optimality conditions in terms of generalized differentiability.

Keywords: Metric inequality conditions; Constraint qualification conditions; Penalization; Optimality conditions; 54C60; 46G05; 90C46 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s10957-021-01848-5

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