Higher order duality in multiobjective fractional programming with square root term under generalized higher order [formula omitted]-V-type I univex functions

Abstract

In this paper, a new generalized class of higher order (F,α,β,ρ,σ,d)-V-type I univex function is introduced with some examples for a differentiable multiobjective programming (MP). Then multiobjective fractional programming problem (MFP) is considered in which the numerator and denominator of objective functions contain square root of positive semidefinite quadratic form and the necessary and sufficient conditions for efficient solution for (MFP) are established under generalized higher order (F,α,β,ρ,σ,d)-V-type I univex functions. Again, higher order dual program is proposed for (MFP) and the duality results are established under generalized of higher order (F,α,β,ρ,σ,d)-V-type I univex functions. Also, some computational work has been done to substantiate the analysis.