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Higher-Order Duality for Multiobjective Programming Problems Involving (F, α, ρ, d)-V-Type I Functions

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Journal of Mathematical Modelling and Algorithms in Operations Research

Abstract

A class of functions called higher-order (F, α, ρ, d)-V-type I functions and their generalizations is introduced. Using the assumptions on the functions involved, weak, strong and strict converse duality theorems are established for higher-order Wolfe and Mond-Weir type multiobjective dual programs in order to relate the efficient solutions of primal and dual problems.

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Authors and Affiliations

  1. Department of Applied Mathematics, Indian School of Mines, Dhanbad, 826 004, Jharkhand, India

    Anurag Jayswal

  2. Institute of Mathematical Statistics and Applied Mathematics of the Romanian Academy, Calea 13 Septembrie, No.13, 050711, Bucharest, Romania

    I. M. Stancu-Minasian

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

    Dilip Kumar

Authors
  1. Anurag Jayswal
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  2. I. M. Stancu-Minasian
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  3. Dilip Kumar
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Corresponding author

Correspondence to Anurag Jayswal.

Additional information

The research of the first author is financially supported by the University Grant Commission, New Delhi, India through grant no. (F. No. 41-801/2012(SR)).

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Jayswal, A., Stancu-Minasian, I.M. & Kumar, D. Higher-Order Duality for Multiobjective Programming Problems Involving (F, α, ρ, d)-V-Type I Functions. J Math Model Algor 13, 125–141 (2014). https://doi.org/10.1007/s10852-013-9224-x

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  • DOI: https://doi.org/10.1007/s10852-013-9224-x

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