POINT-BASED SUFFICIENT CONDITIONS FOR SHARP SOLUTIONS IN NONSMOOTH OPTIMIZATION

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...

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Bibliographic Details
Published in:Journal of global optimization Vol. 93; no. 2; pp. 451 - 470
Main Authors: DUREA, Marius, FLOREA, Elena-Andreea, STRUGARIU, Radu
Format: Journal Article
Language:English
Published: New York Springer US 01.10.2025
Springer Nature B.V
Subjects:
Computer Science
Mathematics
Mathematics and Statistics
Operations Research/Decision Theory
Optimization
Real Functions
Subgradients
Sharp solutions
90C30
Isolated solutions
46G05
Coderivatives
ISSN:0925-5001, 1573-2916
Online Access:Get full text
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Summary: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.
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ISSN:0925-5001
1573-2916
DOI:10.1007/s10898-025-01550-0