Second order duality in multiobjective programming

Izhar Ahmad; Zakir Husain

doi:10.1515/JAA.2008.131

Second order duality in multiobjective programming

Izhar Ahmad^*
, Zakir Husain

^*Corresponding author for this work

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

2 Scopus citations

Abstract

A nonlinear multiobjective programming problem is considered. Weak, strong and strict converse duality theorems are established under generalized second order (F, α, ρ, d)-convexity for second order Mangasarian type and general Mond-Weir type vector duals.

Original language	English
Pages (from-to)	131-148
Number of pages	18
Journal	Journal of Applied Analysis
Volume	14
Issue number	1
DOIs	https://doi.org/10.1515/JAA.2008.131
State	Published - Jun 2008
Externally published	Yes

Bibliographical note

Funding Information:
2000 Mathematics Subject Classification. Primary: 90C29, 90C30, 90C46. Key words and phrases. Multiobjective programming, second order duality, efficient solution, generalized (F, α, ρ, d)-convexity. The research of second author is supported by the Department of Atomic Energy, Government of India, under the NBHM Post-Doctoral Fellowship Program No. 40/9/2005-R & D II/2398.

Keywords

Efficient solution
Generalized (F; α ρ d)-convexity
Multiobjective programming
Second order duality

ASJC Scopus subject areas

Mathematical Physics
Statistics, Probability and Uncertainty
Computational Theory and Mathematics
Applied Mathematics

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abstract = "A nonlinear multiobjective programming problem is considered. Weak, strong and strict converse duality theorems are established under generalized second order (F, α, ρ, d)-convexity for second order Mangasarian type and general Mond-Weir type vector duals.",

keywords = "Efficient solution, Generalized (F; α ρ d)-convexity, Multiobjective programming, Second order duality",

author = "Izhar Ahmad and Zakir Husain",

note = "Funding Information: 2000 Mathematics Subject Classification. Primary: 90C29, 90C30, 90C46. Key words and phrases. Multiobjective programming, second order duality, efficient solution, generalized (F, α, ρ, d)-convexity. The research of second author is supported by the Department of Atomic Energy, Government of India, under the NBHM Post-Doctoral Fellowship Program No. 40/9/2005-R \& D II/2398.",

year = "2008",

month = jun,

doi = "10.1515/JAA.2008.131",

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AU - Ahmad, Izhar

AU - Husain, Zakir

N1 - Funding Information: 2000 Mathematics Subject Classification. Primary: 90C29, 90C30, 90C46. Key words and phrases. Multiobjective programming, second order duality, efficient solution, generalized (F, α, ρ, d)-convexity. The research of second author is supported by the Department of Atomic Energy, Government of India, under the NBHM Post-Doctoral Fellowship Program No. 40/9/2005-R & D II/2398.

PY - 2008/6

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N2 - A nonlinear multiobjective programming problem is considered. Weak, strong and strict converse duality theorems are established under generalized second order (F, α, ρ, d)-convexity for second order Mangasarian type and general Mond-Weir type vector duals.

AB - A nonlinear multiobjective programming problem is considered. Weak, strong and strict converse duality theorems are established under generalized second order (F, α, ρ, d)-convexity for second order Mangasarian type and general Mond-Weir type vector duals.

KW - Efficient solution

KW - Generalized (F; α ρ d)-convexity

KW - Multiobjective programming

KW - Second order duality

UR - https://www.scopus.com/pages/publications/84858402318

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DO - 10.1515/JAA.2008.131

M3 - Article

AN - SCOPUS:84858402318

SN - 1425-6908

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EP - 148

JO - Journal of Applied Analysis

JF - Journal of Applied Analysis

IS - 1

ER -

Second order duality in multiobjective programming

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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