Optimality conditions for weak and firm efficiency in set-valued optimization

This paper concerns the study of weak and firm local efficiency in constrained mathematical problems governed by set-valued mappings. We derive optimality conditions by means of the Bouligand derivative and by means of the Mordukhovich coderivative as well.

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Veröffentlicht in:Journal of mathematical analysis and applications Jg. 344; H. 2; S. 1018 - 1028
1. Verfasser: Durea, M.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: San Diego, CA Elsevier Inc 15.08.2008
Elsevier
Schlagworte:
Bouligand derivative
Calculus of variations and optimal control
Exact sciences and technology
Firm efficiency
Mathematical analysis
Mathematics
Mordukhovich coderivative
Numerical analysis
Numerical analysis. Scientific computation
Numerical methods in mathematical programming, optimization and calculus of variations
Sciences and techniques of general use
Set-valued optimization
Weak efficiency
Mordukhovich coderivative
Weak efficiency
Bouligand derivative
Set-valued optimization
Firm efficiency
Mathematical analysis
Set-valued mapping
Optimization method
Set-valued optimization;Weak efficiency;Firm efficiency;Bouligand derivative;Mordukhovich coderivative
Optimality condition
Application
Optimization
ISSN:0022-247X, 1096-0813
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Beschreibung
Zusammenfassung:This paper concerns the study of weak and firm local efficiency in constrained mathematical problems governed by set-valued mappings. We derive optimality conditions by means of the Bouligand derivative and by means of the Mordukhovich coderivative as well.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2008.03.053