Non-differentiable minimax fractional programming with higher-order type I functions

G. Muhiuddin; Abdullah M. Al-roqi; I. Ahmad

doi:10.1186/1029-242X-2013-484

Non-differentiable minimax fractional programming with higher-order type I functions

G. Muhiuddin^*, Abdullah M. Al-roqi, I. Ahmad

^*Corresponding author for this work

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

1 Scopus citations

Abstract

In this article, we are concerned with a class of non-differentiable minimax fractional programming problems and their higher-order dual model. Weak, strong and converse duality theorems are discussed involving generalized higher-order type I functions. The presented results extend some previously known results on non-differentiable minimax fractional programming.

Original language	English
Article number	484
Journal	Journal of Inequalities and Applications
Volume	2013
DOIs	https://doi.org/10.1186/1029-242X-2013-484
State	Published - Nov 2013

Bibliographical note

Funding Information:
This work was partially supported by the Deanship of Scientific Research Unit,University of Tabuk, Tabuk, Kingdom of Saudi Arabia. The authors are grateful tothe anonymous referee for a careful checking of the details and for helpfulcomments that improved this paper.

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.1186/1029-242X-2013-484

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title = "Non-differentiable minimax fractional programming with higher-order type I functions",

abstract = "In this article, we are concerned with a class of non-differentiable minimax fractional programming problems and their higher-order dual model. Weak, strong and converse duality theorems are discussed involving generalized higher-order type I functions. The presented results extend some previously known results on non-differentiable minimax fractional programming.",

author = "G. Muhiuddin and Al-roqi, \{Abdullah M.\} and I. Ahmad",

note = "Funding Information: This work was partially supported by the Deanship of Scientific Research Unit,University of Tabuk, Tabuk, Kingdom of Saudi Arabia. The authors are grateful tothe anonymous referee for a careful checking of the details and for helpfulcomments that improved this paper. ",

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AU - Al-roqi, Abdullah M.

AU - Ahmad, I.

N1 - Funding Information: This work was partially supported by the Deanship of Scientific Research Unit,University of Tabuk, Tabuk, Kingdom of Saudi Arabia. The authors are grateful tothe anonymous referee for a careful checking of the details and for helpfulcomments that improved this paper.

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N2 - In this article, we are concerned with a class of non-differentiable minimax fractional programming problems and their higher-order dual model. Weak, strong and converse duality theorems are discussed involving generalized higher-order type I functions. The presented results extend some previously known results on non-differentiable minimax fractional programming.

AB - In this article, we are concerned with a class of non-differentiable minimax fractional programming problems and their higher-order dual model. Weak, strong and converse duality theorems are discussed involving generalized higher-order type I functions. The presented results extend some previously known results on non-differentiable minimax fractional programming.

UR - https://www.scopus.com/pages/publications/84897592153

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DO - 10.1186/1029-242X-2013-484

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JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

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ER -

Non-differentiable minimax fractional programming with higher-order type I functions

Abstract

Bibliographical note

ASJC Scopus subject areas

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