Nondifferentiable <i>G</i>-Mond–Weir Type Multiobjective Symmetric Fractional Problem and Their Duality Theorems under Generalized Assumptions

Abstract

In this article, a pair of nondifferentiable second-order symmetric fractional primal-dual model (G-Mond−Weir type model) in vector optimization problem is formulated over arbitrary cones. In addition, we construct a nontrivial numerical example, which helps to understand the existence of such type of functions. Finally, we prove weak, strong and converse duality theorems under aforesaid assumptions.

Keywords

• multiobjective
• symmetric duality
• second-order
• nondifferentiable
• fractional programming
• support function
• gf-bonvexity/gf-pseudobonvexity