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Second-order multiobjective symmetric duality involving cone-bonvex functions

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Abstract

In this paper, a new pair of second-order multiobjective symmetric dual programs over arbitrary cones is formulated and appropriate duality theorems are then established under K-η-bonvexity assumptions. We identify a function lying exclusively in the class of K-η-bonvex and not in class of invex function already existing in literature. Self duality 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 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. Second-order multiobjective symmetric duality involving cone-bonvex functions. J Glob Optim 55, 125–140 (2013). https://doi.org/10.1007/s10898-012-9878-3

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