Optimality and duality results for fractional programming problems under E-univexity

In this article, we deal with nonconvex fractional programming problems involving E-differentiable functions \((FP_E)\) $(F{P}_E)$ . The so-called E-Karush-Kuhn-Tucker sufficient E-optimality conditions are established for nonsmooth optimization problems under E-univexity hypothesis. The established optimality conditions are explained with a numerical example. The so-called vector dual problem in the sense of Schaible \((SD_E)\) $(S{D}_E)$ involves E-differentiable functions for \((FP_E)\) $(F{P}_E)$ is defined under E-univexity hypothesis.