Unravelling Non-Differentiable Manifold Problems based on Lagrange Duality and Wolfe Duality

摘要

This paper presented a solution for solving the problems in duality theorems for the category of non-differentiable multi-objective programming issues. Weak and strong duality theorems solve optimization problem based on the formulation of the primal and dual problems. Here the solution concepts of the primal and dual problems are based on the concept of Hybridization of both Lagrange and Wolfe duality theorem. The proof are designed in such a way that the solution for the primal problem must always be greater than or equal to the solution of the dual problem. Consequently the concepts of without duality gap in the weak and strong sense are also introduced, and strong duality theorems in the weak and strong sense are then derived.