Multiobjective Wolfe type symmetric fractional programming problem and their duality relations with arbitrary cones

Abstract

In this article, we study a new type of definitions of $K$-$\eta$- invexity/$K$-$\eta$-pseudoinvexity/$K$-$\eta$-quasiinvexity and there generalization between the above-mention functions. We also construct various concrete numerical examples for existing these type of functions. We formulate $K$-$\eta$-Wolfe type multiobjective fractional symmetric duality model with cone objective as well as constraints and various duality theorems has been established. Our results are more generalized than previous known results in the literature.