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Optimality conditions for a nonconvex set-valued optimization problem

✍ Scribed by María Alonso; Luis Rodríguez-Marín

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
253 KB
Volume
56
Category
Article
ISSN
0898-1221

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✦ Synopsis

In this paper we study necessary and sufficient optimality conditions for a set-valued optimization problem. Convexity of the multifunction and the domain is not required. A definition of K -approximating multifunction is introduced. This multifunction is the differentiability notion applied to the problem. A characterization of weak minimizers is obtained for invex and generalized K -convexlike multifunctions using the Lagrange multiplier rule.

📜 SIMILAR VOLUMES

Generalized Constraint Qualifications an
Generalized Constraint Qualifications and Optimality Conditions for Set-Valued Optimization Problems
✍ Huang Yong-Wei 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 106 KB

In this paper we discuss the connections of four generalized constraint qualifications for set-valued vector optimization problems with constraints. Then some K-T type necessary and sufficient optimality conditions are derived, in terms of the contingent epiderivatives.