Parametric approach for a class of fractional variational programs involving support functions. (5th December 2022)

• Record Type: Journal Article
• Authors: Kailey, Navdeep; Sharma, Vikas
• Is Part Of: International journal of mathematics in operational research. Volume 23:Number 4(2022)
• Page Start: 481
• Page End: 508
• Publication Date: 2022-12-05
• Subjects: fractional programs -- support functions -- parametric approach -- variational programs -- (F, α, ρ, d)-pseudoconvexity; Operations research -- Mathematical models -- Periodicals; Operations research -- Mathematics -- Periodicals; Decision making -- Mathematical models -- Periodicals; 658.4033
• Languages: English
• ISSNs: 1757-5850

Abstract

In this paper, a pair of non-differentiable second-order multi-objective symmetrical dual fractional variational programs over arbitrary cones is constructed. We have introduced the concept of second-order ( F, α, ρ, d )-pseudoconvexity and an example of a function which is second-order ( F, α, ρ, d )-pseudoconvex but not second-order F -pseudoconvex has been constructed. Further, to relate the objective function value of primal and dual, we proved weak, strong, and converse duality theorems under second-order ( F, α, ρ, d )-pseudoconvexity suppositions. Moreover, to validate the results of the weak duality theorem, an example of a multi-objective variational fractional problem and its dual model has been constructed. Several known results are also discussed as special cases.