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.

Keywords

• E-differentiable multiobjective fractional programming problem
• Vector-valued E-convex function
• E-optimality conditions
• E-duality