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Nondifferentiable multiobjective Mond–Weir type second-order symmetric duality over cones

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Abstract

In this paper, a pair of Mond–Weir type nondifferentiable multiobjective second-order symmetric dual programs over arbitrary cones is formulated. Weak, strong and converse duality theorems are established under second-order K–F-convexity/K–η-bonvexity assumptions. A self duality theorem is also obtained by assuming the functions involved to be skew-symmetric.

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology, Roorkee, 247 667, India

    T. R. Gulati & Geeta Mehndiratta

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  1. T. R. Gulati
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  2. Geeta Mehndiratta
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Correspondence to T. R. Gulati.

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Gulati, T.R., Mehndiratta, G. Nondifferentiable multiobjective Mond–Weir type second-order symmetric duality over cones. Optim Lett 4, 293–309 (2010). https://doi.org/10.1007/s11590-009-0161-6

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