Exponentially E-preinvex and E-invex functions in mathematical programming

In this paper, we introduce a new concept of generalized convexity for E-differentiable vector optimization problems. Namely, the notion of exponentially E-invexity is defined. Further, some properties and results of exponentially E-invex functions are studied. The sufficient optimality conditions are derived under appropriate (generalized) exponentially E-invexity hypotheses. To exemplify the application of our proposed concept, we have included an appropriate example.