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A pair of Mond–Weir type third order symmetric duality

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Abstract

In this framework, a pair of Mond–Weir type third order symmetric nonlinear programming problems are introduced. Appropriate duality theorems are established for the newly formulated third order symmetric dual problems under the assumptions of boncavity and bonvexity. Different counterexamples are also provided in order to justify the present findings. It is also verified that some of the previously published results in the literarue are particular cases of the findings of the paper.

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Acknowledgements

The authors wish to thank the referees for their valuable suggestions that improved the presentation of the paper.

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No funding was received for conducting this study.

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Authors and Affiliations

  1. School of Applied Sciences, KIIT, Bhubaneswar, 751024, India

    G. Biswal & N. Behera

  2. University of Central Florida, Orlando, FL, 32816, USA

    R. N. Mohapatra

  3. Veer Surendra Sai University of Technology, Burla, 768018, India

    S. K. Padhan

Authors
  1. G. Biswal
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  2. N. Behera
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  3. R. N. Mohapatra
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  4. S. K. Padhan
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Contributions

First author has done the literature review and proved the results. Second author has established the results. Third author has identified the research gap and also helped to prove the results. Fourth author or the corresponding author has formulated the problem, i.e. has developed the model and discussed suitable examples to validate the findings.

Corresponding author

Correspondence to S. K. Padhan.

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Biswal, G., Behera, N., Mohapatra, R.N. et al. A pair of Mond–Weir type third order symmetric duality. J. Appl. Math. Comput. 69, 3391–3402 (2023). https://doi.org/10.1007/s12190-023-01884-6

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  • DOI: https://doi.org/10.1007/s12190-023-01884-6

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