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

S.K. Gupta, N. Kailey and M.K. Sharma

International Journal of Mathematics in Operational Research, 2011, vol. 3, issue 4, 414-430

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. (search for similar items in EconPapers)
Date: 2011
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