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Nondifferentiable multiobjective second-order symmetric duality

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Abstract

In this paper, a pair of Wolfe type second-order multiobjective symmetric dual programs involving nondifferentiable functions is formulated. Weak, strong and converse duality theorems are then established using the notion of second-order F-convexity assumptions. An example which is second-order F-convex but not convex is also illustrated. Further, special cases are discussed to show that this paper extends some known results of the literature.

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology Patna, Patna, 800 013, India

    S. K. Gupta

  2. School of Mathematics and Computer Applications, Thapar University, Patiala, 147 004, India

    N. Kailey

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  1. S. K. Gupta
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  2. N. Kailey
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Correspondence to S. K. Gupta.

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Gupta, S.K., Kailey, N. Nondifferentiable multiobjective second-order symmetric duality. Optim Lett 5, 125–139 (2011). https://doi.org/10.1007/s11590-010-0196-8

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