Sufficiency and duality in multiobjective programming under generalized type i functions

T. R. Gulati; I. Ahmad; D. Agarwal

doi:10.1007/s10957-007-9271-4

Sufficiency and duality in multiobjective programming under generalized type i functions

T. R. Gulati^*, I. Ahmad, D. Agarwal

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

26 Scopus citations

Abstract

In this paper, new classes of generalized (F,α,ρ,d)-V-type I functions are introduced for differentiable multiobjective programming problems. Based upon these generalized convex functions, sufficient optimality conditions are established. Weak, strong and strict converse duality theorems are also derived for Wolfe and Mond-Weir type multiobjective dual programs.

Original language	English
Pages (from-to)	411-427
Number of pages	17
Journal	Journal of Optimization Theory and Applications
Volume	135
Issue number	3
DOIs	https://doi.org/10.1007/s10957-007-9271-4
State	Published - Dec 2007
Externally published	Yes

Bibliographical note

Funding Information:
Acknowledgements The authors thank a reviewer and Prof. X.Q. Yang (Associate Editor for JOTA) for their fruitful comments which helped improving the paper. The third author thanks MHRD, Government of India, for providing financial support.

Keywords

Duality
Generalized type I functions
Multiobjective programming
Sufficiency
Weak Efficiency

ASJC Scopus subject areas

Management Science and Operations Research
Control and Optimization
Applied Mathematics

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10.1007/s10957-007-9271-4

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abstract = "In this paper, new classes of generalized (F,α,ρ,d)-V-type I functions are introduced for differentiable multiobjective programming problems. Based upon these generalized convex functions, sufficient optimality conditions are established. Weak, strong and strict converse duality theorems are also derived for Wolfe and Mond-Weir type multiobjective dual programs.",

keywords = "Duality, Generalized type I functions, Multiobjective programming, Sufficiency, Weak Efficiency",

author = "Gulati, \{T. R.\} and I. Ahmad and D. Agarwal",

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AU - Gulati, T. R.

AU - Ahmad, I.

AU - Agarwal, D.

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PY - 2007/12

Y1 - 2007/12

N2 - In this paper, new classes of generalized (F,α,ρ,d)-V-type I functions are introduced for differentiable multiobjective programming problems. Based upon these generalized convex functions, sufficient optimality conditions are established. Weak, strong and strict converse duality theorems are also derived for Wolfe and Mond-Weir type multiobjective dual programs.

AB - In this paper, new classes of generalized (F,α,ρ,d)-V-type I functions are introduced for differentiable multiobjective programming problems. Based upon these generalized convex functions, sufficient optimality conditions are established. Weak, strong and strict converse duality theorems are also derived for Wolfe and Mond-Weir type multiobjective dual programs.

KW - Duality

KW - Generalized type I functions

KW - Multiobjective programming

KW - Sufficiency

KW - Weak Efficiency

UR - https://www.scopus.com/pages/publications/36148944911

U2 - 10.1007/s10957-007-9271-4

DO - 10.1007/s10957-007-9271-4

M3 - Article

AN - SCOPUS:36148944911

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JF - Journal of Optimization Theory and Applications

IS - 3

ER -

Sufficiency and duality in multiobjective programming under generalized type i functions

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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