Optimality and second order duality for a class of quasi-differentiable multiobjective optimization problem

Abstract

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.

Keywords

• higher order η - bonvexity
• strict minimizers
• second order duality