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

Navdeep Kailey, Sonali and Vikas Sharma

International Journal of Mathematics in Operational Research, 2022, vol. 23, issue 4, 481-508

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. (search for similar items in EconPapers)
Date: 2022
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