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Dual optimality conditions for the difference of extended real valued increasing co-radiant functions

Author

Listed:
  • Mohammad Hossein Daryaei

    (Shahid Bahonar University of Kerman)

  • Hossein Mohebi

    (Shahid Bahonar University of Kerman)

Abstract

The aim of this paper is to present dual optimality conditions for the difference of two extended real valued increasing co-radiant functions. We do this by first characterizing dual optimality conditions for the difference of two nonpositive increasing co-radiant functions. Finally, we present dual optimality conditions for the difference of two extended real valued increasing co-radiant functions. Our approach is based on the Toland–Singer formula.

Suggested Citation

  • Mohammad Hossein Daryaei & Hossein Mohebi, 2024. "Dual optimality conditions for the difference of extended real valued increasing co-radiant functions," Journal of Global Optimization, Springer, vol. 90(2), pages 355-371, October.
    • Handle: RePEc:spr:jglopt:v:90:y:2024:i:2:d:10.1007_s10898-024-01404-1
    DOI: 10.1007/s10898-024-01404-1
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    References listed on IDEAS

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    1. V. Jeyakumar & B. M. Glover, 1995. "Nonlinear Extensions of Farkas’ Lemma with Applications to Global Optimization and Least Squares," Mathematics of Operations Research, INFORMS, vol. 20(4), pages 818-837, November.
    2. H. Mohebi, 2013. "Abstract convexity of radiant functions with applications," Journal of Global Optimization, Springer, vol. 55(3), pages 521-538, March.
    3. Alberto Zaffaroni, 2004. "Is every radiant function the sum of quasiconvex functions?," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 59(2), pages 221-233, June.
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