Generalized (d-ρ-η-θ)-Type I Univex Functions in Multiobjective Optimization

A new class of generalized functions (d-ρ-η-θ)-type I univex is introduced for a nonsmooth multiobjective programming problem. Based upon these generalized functions, sufficient optimality conditions are established. Weak, strong, converse, and strict converse duality theorems are also derived for M...

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Published inAdvances in Operations Research Vol. 2012; no. 2012; pp. 115 - 127
Main Authors Kharbanda, Pallavi, Sinha, Deepa, Agarwal, Divya
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Limiteds 01.01.2012
Hindawi Puplishing Corporation
Hindawi Publishing Corporation
John Wiley & Sons, Inc
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Online AccessGet full text
ISSN1687-9147
1687-9155
DOI10.1155/2012/279215

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Summary:A new class of generalized functions (d-ρ-η-θ)-type I univex is introduced for a nonsmooth multiobjective programming problem. Based upon these generalized functions, sufficient optimality conditions are established. Weak, strong, converse, and strict converse duality theorems are also derived for Mond-Weir-type multiobjective dual program.
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ISSN:1687-9147
1687-9155
DOI:10.1155/2012/279215