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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Veröffentlicht in:Journal of global optimization Jg. 93; H. 2; S. 451 - 470
Hauptverfasser: DUREA, Marius, FLOREA, Elena-Andreea, STRUGARIU, Radu
Format: Journal Article
Sprache:Englisch
Veröffentlicht: New York Springer US 01.10.2025
Springer Nature B.V
Schlagworte:
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
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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.
AbstractList 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.
Author DUREA, Marius
STRUGARIU, Radu
FLOREA, Elena-Andreea
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  orcidid: 0000-0002-6429-0209
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  fullname: FLOREA, Elena-Andreea
  organization: Faculty of Mathematics, “Alexandru Ioan Cuza” University, “Octav Mayer” Institute of Mathematics, Iaşi Branch of Romanian Academy
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  givenname: Radu
  surname: STRUGARIU
  fullname: STRUGARIU, Radu
  organization: “Octav Mayer” Institute of Mathematics, Iaşi Branch of Romanian Academy, Department of Mathematics, “Gheorghe Asachi” Technical University
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Issue 2
Keywords Subgradients
Sharp solutions
90C30
Isolated solutions
46G05
Coderivatives
Language English
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PublicationSubtitle An International Journal Dealing with Theoretical and Computational Aspects of Seeking Global Optima and Their Applications in Science, Management and Engineering
PublicationTitle Journal of global optimization
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Snippet We present some sufficient optimality conditions for sharp and for isolated solutions of constrained scalar and set-valued nonsmooth optimization problems in...
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SubjectTerms Computer Science
Mathematics
Mathematics and Statistics
Operations Research/Decision Theory
Optimization
Real Functions
Title POINT-BASED SUFFICIENT CONDITIONS FOR SHARP SOLUTIONS IN NONSMOOTH OPTIMIZATION
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