Higher-Order Wolfe Type Symmetric Fractional Programming Problem Under Generalized Assumptions

Abstract

The Wolfe-type model over arbitrary cones is a new sort of model that we introduce in this article. We defend duality theorems under more generalized higher-order assumptions in the section after this. We identify a function that only belongs to the class of generalize higher order pseudoinvex functions, not the class of generalize higher order invex functions. In the last section, we added a conclusion for future prosecutions for the researchers. Additionally, compared to earlier results in the literature, all of the results in this research are more broadly applicable.

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

“…In order to create a vector optimization program under cones, they were able to develop higher-order sufficient optimality assumptions and duality theorems (Kumar et al, 2022). The extended Jacobian has recently been used by Gutierrez et al (2015) to create various conceptions of (K1, K2)-pseudoinvexity-I and II using 𝐾 1, 𝐾 2 ∈ {𝐶 0 𝑐 , (𝐼𝑛𝑡.…”