A reduced formulation for pseudoinvex vector functions

Vector pseudoinvexity is characterized in the current literature by means of a suitable functional which depends on two variables. In this paper, vector pseudoinvexity is characterized by means of a functional which depends on one variable only. For this very reason, the new characterizing conditions are easier to be verified

Generalized Second-Order G-Wolfe Type Fractional Symmetric Program and their Duality Relations under Generalized Assumptions

In this article, we formulate the concept of generalize bonvexity/pseudobonvexity functions. We formulate duality results for second-order fractional symmetric dual programs of G-Wolfe-type model. In the next section, we explain the duality theorems under generalize bonvexity/pseudobonvexity assumptions. We identify a function lying exclusively in the class of generalize pseudobonvex and not in class of generalize bonvex functions. Our results are more generalized several known results in the literature