Optimality and Duality for Invex Nonsmooth Multiobjective programming problems

We consider nonsmooth multiobjective programming problems with inequality and equality constraints involving locally Lipschitz functions. Several sufficient optimality conditions under various (generalized) invexity assumptions and certain regularity conditions are presented. In addition, we introdu...

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Bibliographic Details
Published inOptimization Vol. 53; no. 2; pp. 165 - 176
Main Authors Kim, Do Sang, Schaible, Siegfried
Format Journal Article
LanguageEnglish
Published Philadelphia Taylor & Francis Group 01.04.2004
Taylor & Francis LLC
Subjects
(generalized) Invexity
Computer programming
Duality relations
Locally Lipschitz functions
Mathematics
Mathematics Subjects Classifications 2000: 90C29
Multiobjective programming
Optimization
Studies
Sufficient optimality conditions
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Summary:We consider nonsmooth multiobjective programming problems with inequality and equality constraints involving locally Lipschitz functions. Several sufficient optimality conditions under various (generalized) invexity assumptions and certain regularity conditions are presented. In addition, we introduce a Wolfe-type dual and Mond-Weir-type dual and establish duality relations under various (generalized) invexity and regularity conditions.
Bibliography:SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ISSN:0233-1934
1029-4945
DOI:10.1080/0233193042000209435