Second order duality for minmax fractional programming

Z. Husain; I. Ahmad; Sarita Sharma

doi:10.1007/s11590-008-0107-4

Second order duality for minmax fractional programming

Z. Husain^*
, I. Ahmad
, Sarita Sharma

^*Corresponding author for this work

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

36 Scopus citations

Abstract

In the present paper, two types of second order dual models are formulated for a minmax fractional programming problem. The concept of η-bonvexity/ generalized η-bonvexity is adopted in order to discuss weak, strong and strict converse duality theorems.

Original language	English
Pages (from-to)	277-286
Number of pages	10
Journal	Optimization Letters
Volume	3
Issue number	2
DOIs	https://doi.org/10.1007/s11590-008-0107-4
State	Published - Mar 2009
Externally published	Yes

Bibliographical note

Funding Information:
The research of Z. Husain 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/1739.

Keywords

Fractional programming
Minmax programming
Second order duality
η-bonvexity

ASJC Scopus subject areas

Control and Optimization

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10.1007/s11590-008-0107-4

Cite this

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title = "Second order duality for minmax fractional programming",

abstract = "In the present paper, two types of second order dual models are formulated for a minmax fractional programming problem. The concept of η-bonvexity/ generalized η-bonvexity is adopted in order to discuss weak, strong and strict converse duality theorems.",

keywords = "Fractional programming, Minmax programming, Second order duality, η-bonvexity",

author = "Z. Husain and I. Ahmad and Sarita Sharma",

note = "Funding Information: The research of Z. Husain 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/1739.",

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doi = "10.1007/s11590-008-0107-4",

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AU - Husain, Z.

AU - Ahmad, I.

AU - Sharma, Sarita

N1 - Funding Information: The research of Z. Husain 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/1739.

PY - 2009/3

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N2 - In the present paper, two types of second order dual models are formulated for a minmax fractional programming problem. The concept of η-bonvexity/ generalized η-bonvexity is adopted in order to discuss weak, strong and strict converse duality theorems.

AB - In the present paper, two types of second order dual models are formulated for a minmax fractional programming problem. The concept of η-bonvexity/ generalized η-bonvexity is adopted in order to discuss weak, strong and strict converse duality theorems.

KW - Fractional programming

KW - Minmax programming

KW - Second order duality

KW - η-bonvexity

UR - https://www.scopus.com/pages/publications/64949114754

U2 - 10.1007/s11590-008-0107-4

DO - 10.1007/s11590-008-0107-4

M3 - Article

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SN - 1862-4472

VL - 3

SP - 277

EP - 286

JO - Optimization Letters

JF - Optimization Letters

IS - 2

ER -

Second order duality for minmax fractional programming

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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