Non-smooth multiobjective programming problem involving (dI - ρ - σ)-V-type I functions

In this paper, we consider a multiobjective optimisation problem where the objective and constraint functions involved are non‐differentiable. We introduce a new class of functions namely (dI ‐ ρ ‐ σ)‐V‐type I functions and illustrate through non‐trivial examples that the class introduced is non‐empty. We then obtain sufficient optimality conditions under the newly introduced class of functions and derive various weak, strong, converse and strict converse duality results for Wolfe type and Mond‐Weir type dual programmes in order to relate the efficient and weak efficient solutions of primal and dual problems.