Second-order optimality conditions for nondominated solutions of multiobjective programming with C super(1,1) data

We examine new second-order necessary conditions and sufficient conditions which characterize nondominated solutions of a generalized constrained multiobjective programming problem. The vector-valued criterion function as well as constraint functions are supposed to be from the class C super(1,1). S...

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Published inApplications of mathematics (Prague) Vol. 45; no. 5; pp. 381 - 397
Main Authors Liu, Liping, Neittaanmaeki, Pekka, Krizek, Michal
Format Journal Article
LanguageEnglish
Published 01.10.2000
Subjects
Applications of mathematics
C (programming language)
Constraints
Criteria
Mathematical analysis
Optimization
Pareto optimality
Programming
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Summary:We examine new second-order necessary conditions and sufficient conditions which characterize nondominated solutions of a generalized constrained multiobjective programming problem. The vector-valued criterion function as well as constraint functions are supposed to be from the class C super(1,1). Second-order optimality conditions for local Pareto solutions are derived as a special case.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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ObjectType-Feature-1
ISSN:0862-7940
1572-9109
DOI:10.1023/A:1022272728208