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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Summary: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 conditions of the above problems.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2007.12.027