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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Vydáno v:	Journal of mathematical analysis and applications Ročník 342; číslo 1; s. 503 - 513
Hlavní autor:	Huang, H.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	San Diego, CA Elsevier Inc 01.06.2008 Elsevier
Témata:	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
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Abstract	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.
AbstractList	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.
Author	Huang, H.
Author_xml	– sequence: 1 givenname: H. surname: Huang fullname: Huang, H. email: huanghui@ynu.edu.cn organization: Department of Mathematics, Yunnan University, Kunming 650091, PR China
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Keywords	Super efficient solution Multifunction Coderivative Vector optimization Lagrange multiplier Sufficient condition Mathematical analysis Optimization method Optimality condition Banach space Application Constrained optimization
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SubjectTerms	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
Title	The Lagrange multiplier rule for super efficiency in vector optimization
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