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Second-Order Nondifferentiable Multiobjective Mixed Symmetric Dual Programs Over Cones

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Journal of Mathematical Modelling and Algorithms in Operations Research

Abstract

In this paper, a pair of second-order mixed symmetric nondifferentiable multiobjective dual programs over arbitrary cones where each of the objective functions contains a pair of support functions is considered. Further, weak, strong and converse duality theorems are established under the assumptions of second-order K- (F,ρ)-convexity. Moreover, we have illustrated a numerical example which is second-order K- (F,ρ)-convex but not second-order F-convex. Several special cases are also obtained.

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, 247667, India

    S. K. Gupta

  2. Department of Mathematics, Indian Institute of Technology Patna, Patna, 800013, India

    D. Dangar

  3. School of Mathematics and Computer Applications, Thapar University Patiala, Patiala, 147004, India

    N. Kailey

  4. Faculty, Indian Institute of Management Udaipur, Udaipur, 313 001, India

    S. Kumar

Authors
  1. S. K. Gupta
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  2. D. Dangar
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  3. N. Kailey
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  4. S. Kumar
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Correspondence to N. Kailey.

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Gupta, S.K., Dangar, D., Kailey, N. et al. Second-Order Nondifferentiable Multiobjective Mixed Symmetric Dual Programs Over Cones. J Math Model Algor 14, 103–123 (2015). https://doi.org/10.1007/s10852-014-9260-1

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  • DOI: https://doi.org/10.1007/s10852-014-9260-1

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