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Second order duality for nondifferentiable multiobjective programming problem involving (F, α, ρ, d)-V-type I functions

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Abstract

In this paper, new classes of second order (F, α, ρ, d)-V-type I functions for a nondifferentiable multiobjective programming problem are introduced. Furthermore, second order Mangasarian type and general Mond-Weir type duals problems are formulated for a nondifferentiable multiobjective programming problem. Weak strong and strict converse duality theorems are studied in both cases assuming the involved functions to be second order (F, α, ρ, d)-V-type I.

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Authors and Affiliations

  1. Department of Applied Mathematics, Birla Institute of Technology, Mesra, Ranchi, Jharkhand, 835215, India

    Anurag Jayswal & Dilip Kumar

  2. Department of Applied Mathematics, Birla Institute of Technology, Extension Centre, Patna, Bihar, 800014, India

    Rajnish Kumar

Authors
  1. Anurag Jayswal
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  2. Dilip Kumar
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  3. Rajnish Kumar
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Correspondence to Rajnish Kumar.

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Jayswal, A., Kumar, D. & Kumar, R. Second order duality for nondifferentiable multiobjective programming problem involving (F, α, ρ, d)-V-type I functions. Optim Lett 4, 211–226 (2010). https://doi.org/10.1007/s11590-009-0159-0

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  • DOI: https://doi.org/10.1007/s11590-009-0159-0

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