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.

Saved in:

Bibliographic Details
Published in:	Journal of mathematical analysis and applications Vol. 344; no. 2; pp. 1018 - 1028
Main Author:	Durea, M.
Format:	Journal Article
Language:	English
Published:	San Diego, CA Elsevier Inc 15.08.2008 Elsevier
Subjects:	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
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	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