Mond-Weir type nondifferentiable multiobjective second-order symmetric duality with cone constraints

Abstract

In this paper, a pair of Mond-Weir type nondifferentiable multiobjective second-order symmetric dual programs over arbitrary cones is first formulated, where each of the objective function contains a square root term with positive semidefinite matrix in R n × n . Weak, strong and converse duality results are proved for aforesaid model under second-order K - F -convexity/ K - η -bonvexity assumptions. Several known results are obtained as special cases.