Second-order duality in nondifferentiable fractional programming

I. Ahmad; Z. Husain; S. Al-Homidan

doi:10.1016/j.nonrwa.2010.09.004

Second-order duality in nondifferentiable fractional programming

I. Ahmad^*
, Z. Husain
, S. Al-Homidan

^*Corresponding author for this work

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

9 Scopus citations

Abstract

A second-order dual is formulated for a nondifferentiable fractional programming problem. Using the generalized second-order (F,α,ρ,d)- convexity assumptions on the functions involved, weak, strong and converse duality theorems are established in order to relate the primal and dual problems.

Original language	English
Pages (from-to)	1103-1110
Number of pages	8
Journal	Nonlinear Analysis: Real World Applications
Volume	12
Issue number	2
DOIs	https://doi.org/10.1016/j.nonrwa.2010.09.004
State	Published - Apr 2011

Keywords

Fractional programming
Generalized convexity
Optimal solutions
Second-order duality

ASJC Scopus subject areas

Analysis
General Engineering
General Economics, Econometrics and Finance
Computational Mathematics
Applied Mathematics

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10.1016/j.nonrwa.2010.09.004

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title = "Second-order duality in nondifferentiable fractional programming",

abstract = "A second-order dual is formulated for a nondifferentiable fractional programming problem. Using the generalized second-order (F,α,ρ,d)- convexity assumptions on the functions involved, weak, strong and converse duality theorems are established in order to relate the primal and dual problems.",

keywords = "Fractional programming, Generalized convexity, Optimal solutions, Second-order duality",

author = "I. Ahmad and Z. Husain and S. Al-Homidan",

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AU - Husain, Z.

AU - Al-Homidan, S.

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AB - A second-order dual is formulated for a nondifferentiable fractional programming problem. Using the generalized second-order (F,α,ρ,d)- convexity assumptions on the functions involved, weak, strong and converse duality theorems are established in order to relate the primal and dual problems.

KW - Fractional programming

KW - Generalized convexity

KW - Optimal solutions

KW - Second-order duality

UR - https://www.scopus.com/pages/publications/78249249281

U2 - 10.1016/j.nonrwa.2010.09.004

DO - 10.1016/j.nonrwa.2010.09.004

M3 - Article

AN - SCOPUS:78249249281

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EP - 1110

JO - Nonlinear Analysis: Real World Applications

JF - Nonlinear Analysis: Real World Applications

IS - 2

ER -

Second-order duality in nondifferentiable fractional programming

Abstract

Keywords

ASJC Scopus subject areas

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