Optimality and duality results for E-differentiable multiobjective fractional programming problems under E-convexity

Abstract

Abstract A new class of (not necessarily differentiable) multiobjective fractional programming problems with E -differentiable functions is considered. The so-called parametric E -Karush–Kuhn–Tucker necessary optimality conditions and, under E -convexity hypotheses, sufficient E -optimality conditions are established for such nonsmooth vector optimization problems. Further, various duality models are formulated for the considered E -differentiable multiobjective fractional programming problems and several E -duality results are derived also under appropriate E -convexity hypotheses.