Non-smooth multiobjective programming problem involving (\(d_I - {\rho} - {\sigma}\))-V-type I functions (Q2262744)

Summary: 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 (\(d_I - \rho - \sigma\))-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.