Duality for Semi-Infinite Minimax Fractional Programming Problem Involving Higher-Order (Φ, ρ)-V-Invexity. (3rd July 2017)

• Record Type: Journal Article
• Authors: Stancu-Minasian, I. M.; Kummari, Krishna; Jayswal, Anurag
• Is Part Of: Numerical functional analysis and optimization. Volume 38:Number 7(2017)
• Page Start: 926
• Page End: 950
• Publication Date: 2017-07-03
• Subjects: Duality -- higher-order (Φ, ρ)-V-invexity -- minimax fractional programming -- semi-infinite programming; 90C46 -- 90C29 -- 49J52; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2017.1301468
• Languages: English
• ISSNs: 0163-0563

Abstract

ABSTRACT: In this paper, we introduce the concept of higher-order ( Φ, ρ )- V -invexity and present two types of higher-order dual models for a semi-infinite minimax fractional programming problem. Weak, strong, and strict converse duality theorems are discussed under the assumptions of higher-order ( Φ, ρ )- V -invexity to establish a relation between the primal and dual problems.