Title: Parametric approach for a class of fractional variational programs involving support functions

Authors: Navdeep Kailey; Sonali; Vikas Sharma

Addresses: School of Mathematics, Thapar Institute of Engineering and Technology, Patiala 147004, India ' School of Mathematics, Thapar Institute of Engineering and Technology, Patiala 147004, India ' School of Mathematics, Thapar Institute of Engineering and Technology, Patiala 147004, India

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.

Keywords: fractional programs; support functions; parametric approach; variational programs; (F, α, ρ, d)-pseudoconvexity.

DOI: 10.1504/IJMOR.2022.127756

International Journal of Mathematics in Operational Research, 2022 Vol.23 No.4, pp.481 - 508

Received: 24 Jun 2021
Accepted: 07 Oct 2021
Published online: 15 Dec 2022 *

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