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On Quasidifferentiable Multiobjective Fractional Programming

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Abstract

This article deals with a class of multiobjective fractional programs involving quasidifferentiable functions which is denoted by (QMFP). We extend the concept of \((F,\rho)-\)convexity to the quasidifferentiable case and use it to derive necessary and sufficient optimality conditions for efficiency of the (QMFP). The results are illustrated by numerical examples.

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Acknowledgements

The research of the corresponding author is supported by UGC-BSR start up grant by University Grant Commission, New Delhi, India (Letter No. F.30-370/2017(BSR)) (Project No. M-14-40).

Funding

This study is supported by the UGC-BSR start up grant (Letter No. F.30-370/2017(BSR); Project No. M-14-40) funded by the University Grant Commission, New Delhi, India.

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Authors and Affiliations

  1. Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi, 221005, India

    Harsh Narayan Singh & Vivek Laha

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  1. Harsh Narayan Singh
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  2. Vivek Laha
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Both the authors have equally contributed to the manuscript.

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Correspondence to Vivek Laha.

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Singh, H.N., Laha, V. On Quasidifferentiable Multiobjective Fractional Programming. Iran J Sci Technol Trans Sci 46, 917–925 (2022). https://doi.org/10.1007/s40995-022-01309-2

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  • DOI: https://doi.org/10.1007/s40995-022-01309-2

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