Optimality and Second Order Duality for a Class of Quasi-Differentiable Multiobjective Optimization Problem

Rishi R. Sahay, Guneet Bhatia

A second order Mond-Weir type dual is presented for a non-differentiable multiobjective optimization problem with square root terms in the objective as well as in the constraints. Optimality and duality results are presented. Classes of generalized higher order η – bonvex and related functions are introduced to study the optimality and duality results. A fractional case is presented at the end.