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.