Generalized $G$-Wolfe type fractional symmetric duality theorems over arbitrary cones under $(G,rho,theta)$-invexity assumptions

Abstract

In this paper, we introduce the concept of $(G,rho,theta)$-invexity/pseudoinvexity. We formulate duality outcomes for $G$-Wolfe-type fractional symmetric dual programs over arbitrary cones. In the final section, we discuss the duality theorems under $(G,rho,theta)$-invexity/ $(G,rho,theta)$-psedoinvexity assumptions.