Mond-Weir type nondifferentiable multiobjective second-order symmetric duality with cone constraints (Q553940)

Summary: 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 \(R^{n\times n}\). Weak, strong and converse duality results are proved for aforesaid model under second-order \(K\)-\(F\)-convexity\,/\,\(K\)-\(\eta\)-bonvexity assumptions. Several known results are obtained as special cases.