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

Authors: S.K. Gupta, N. Kailey, M.K. Sharma

Addresses: Department of Mathematics, Indian Institute of Technology Patna, Patna 800 013, India. ' School of Mathematics and Computer Applications, Thapar University Patiala, Patiala 147 004, India. ' School of Mathematics and Computer Applications, Thapar University Patiala, Patiala 147 004, India

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.

Keywords: second-order symmetric duality; second-order K-F-convexity; cones; multiobjective programming; efficient solutions; cone constraints; Mond-Weir.

DOI: 10.1504/IJMOR.2011.040876

International Journal of Mathematics in Operational Research, 2011 Vol.3 No.4, pp.414 - 430

Published online: 12 Feb 2015 *

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