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

Ramu Dubey, Vishnu Narayan Mishra and Rifaqat Ali
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Ramu Dubey: Department of Mathematics, J C Bose University of Science and Technology, YMCA, Faridabad 121006, India
Vishnu Narayan Mishra: Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur, Madhya Pradesh 484887, India
Rifaqat Ali: Department of Mathematics, College of Science and Arts, Muhayil, King Khalid University, 61413 Abha, Saudi Arabia

Mathematics, 2019, vol. 7, issue 11, 1-12

Abstract: 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 ( V , α , ρ , d ) -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.

Keywords: duality; support function; nondifferentiable; strictly pseudo (V,?,?,d)-type-I; unified dual; efficient solutions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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