On minimax fractional programming problems involving generalized (Hp, r)-Invex functions

Anurag Jayswal; Ashish Kumar Prasad; Izhar Ahmad

doi:10.3934/jimo.2014.10.1001

On minimax fractional programming problems involving generalized (H_p, r)-Invex functions

Anurag Jayswal^*
, Ashish Kumar Prasad
, Izhar Ahmad

^*Corresponding author for this work

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

3 Scopus citations

Abstract

In the present paper, we move forward in the study of minimax fractional programming problem and establish sufficient optimality conditions under the assumptions of generalized (H_p, r)-invexity. Weak, strong and strict converse duality theorems are also derived for two types of dual models related to minimax fractional programming problem involving aforesaid invex functions. In order to show the existence of introduced class of functions, examples are given.

Original language	English
Pages (from-to)	1001-1018
Number of pages	18
Journal	Journal of Industrial and Management Optimization
Volume	10
Issue number	4
DOIs	https://doi.org/10.3934/jimo.2014.10.1001
State	Published - Oct 2014

Keywords

(H, r)-invexity
Duality
Minimax fractional programming
Sufficiency

ASJC Scopus subject areas

Business and International Management
Strategy and Management
Control and Optimization
Applied Mathematics

Access to Document

10.3934/jimo.2014.10.1001

Cite this

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abstract = "In the present paper, we move forward in the study of minimax fractional programming problem and establish sufficient optimality conditions under the assumptions of generalized (Hp, r)-invexity. Weak, strong and strict converse duality theorems are also derived for two types of dual models related to minimax fractional programming problem involving aforesaid invex functions. In order to show the existence of introduced class of functions, examples are given.",

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