POINT-BASED SUFFICIENT CONDITIONS FOR SHARP SOLUTIONS IN NONSMOOTH OPTIMIZATION

Marius Durea (), Elena-Andreea Florea () and Radu Strugariu ()
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Marius Durea: “Alexandru Ioan Cuza” University
Elena-Andreea Florea: “Alexandru Ioan Cuza” University
Radu Strugariu: Iaşi Branch of Romanian Academy

Journal of Global Optimization, 2025, vol. 93, issue 2, No 4, 470 pages

Abstract: Abstract We present some sufficient optimality conditions for sharp and for isolated solutions of constrained scalar and set-valued nonsmooth optimization problems in terms of several types of subgradients and coderivatives. We make use of Shapiro properties for sets and the employment of different kinds of generalized differentiation objects allows to describe several degrees of sharpness. The main assertions generalize related results from literature.

Keywords: Sharp solutions; Isolated solutions; Subgradients; Coderivatives; 90C30; 46G05 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s10898-025-01550-0

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