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

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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.

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Acknowledgements

The authors are very grateful to the anonymous referee and the Associate Editor for their helpful comments and valuable suggestions and criticism regarding an earlier version of this paper. The comments of the referee and the Associate Editor were very useful and they helped us to improve the paper significantly. The second author was partially supported by Mahani Mathematical Research Center, Shahid Bahonar University of Kerman, Iran [Grant No: 99/3668].

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Authors and Affiliations

  1. Department of Applied Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran

    Mohammad Hossein Daryaei

  2. Department of Mathematics, Graduate University of Advanced Technology, Shahid Bahonar University of Kerman, Kerman, 7616914111, Iran

    Hossein Mohebi

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  1. Mohammad Hossein Daryaei
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  2. Hossein Mohebi
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Correspondence to Hossein Mohebi.

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Daryaei, M.H., Mohebi, H. Dual optimality conditions for the difference of extended real valued increasing co-radiant functions. J Glob Optim (2024). https://doi.org/10.1007/s10898-024-01404-1

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  • DOI: https://doi.org/10.1007/s10898-024-01404-1

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