Parametric Duality Results for Semi-infinite Multiobjective Fractional Programming Under (?, ?)-V -invexity and Generalized (?, ?)-V -invexity

Abstract

A new class of nonconvex smooth semi-infinite multiobjective fractional programming problems with both inequality and equality constraints is considered. For the considered nonconvex smooth semi-infinite multiobjective fractional programming problem, we formulate three vector parametric dual problems and establish several parametric dual results under various (?, ?)-V - invexity and generalized (?, ?)-V -invexity hypotheses. With the reference to the said functions, we extend some duality results for a larger class of nonconvex smooth semi-infinite multiobjective programming problems in comparison to those ones previously established in the literature under other generalized convex notions.