The Lagrange multiplier rule for super efficiency in vector optimization

In this paper, we study constrained multiobjective optimization problems with objectives being closed-graph multifunctions in Banach spaces. In terms of the coderivatives and Clarke's normal cones, we establish Lagrange multiplier rules for super efficiency as necessary or sufficient optimality...

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Bibliographic Details
Published in:	Journal of mathematical analysis and applications Vol. 342; no. 1; pp. 503 - 513
Main Author:	Huang, H.
Format:	Journal Article
Language:	English
Published:	San Diego, CA Elsevier Inc 01.06.2008 Elsevier
Subjects:	Calculus of variations and optimal control Coderivative Exact sciences and technology Functional analysis Mathematical analysis Mathematics Multifunction Numerical analysis Numerical analysis. Scientific computation Numerical methods in mathematical programming, optimization and calculus of variations Sciences and techniques of general use Super efficient solution Vector optimization Super efficient solution Multifunction Coderivative Vector optimization Lagrange multiplier Sufficient condition Mathematical analysis Optimization method Optimality condition Banach space Application Constrained optimization
ISSN:	0022-247X, 1096-0813
Online Access:	Get full text
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