Duality for Unified Higher-Order Minimax Fractional Programming with Support Function under Type-I Assumptions

This article is devoted to discussing the nondifferentiable minimax fractional programming problem with type-I functions. We focus our study on a nondifferentiable minimax fractional programming problem and formulate a higher-order dual model. Next, we establish weak, strong, and strict converse dua...

Full description

Bibliographic Details
Main Authors: Ramu Dubey, Vishnu Narayan Mishra, Rifaqat Ali
Format: Article
Language:English
Published: MDPI AG 2019-11-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/7/11/1034
Description
Summary:This article is devoted to discussing the nondifferentiable minimax fractional programming problem with type-I functions. We focus our study on a nondifferentiable minimax fractional programming problem and formulate a higher-order dual model. Next, we establish weak, strong, and strict converse duality theorems under generalized higher-order strictly pseudo <inline-formula> <math display="inline"> <semantics> <mrow> <mo>(</mo> <mi>V</mi> <mo>,</mo> <mi>&#945;</mi> <mo>,</mo> <mi>&#961;</mi> <mo>,</mo> <mi>d</mi> <mo>)</mo> </mrow> </semantics> </math> </inline-formula>-type-I functions. In the final section, we turn our focus to study a nondifferentiable unified minimax fractional programming problem and the results obtained in this paper naturally unify. Further, we extend some previously known results on nondifferentiable minimax fractional programming in the literature.
ISSN:2227-7390