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Minimizing the difference of two quasiconvex functions

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Abstract

In this note, we are concerned with an optimization problem (P) where the objective function is the difference of two quasiconvex functions. Using a suitable subdifferential introduced by Suzuki and Kuroiwa (Nonlinear Anal 74:1279–1285, 2011), we give necessary optimality conditions. An example is given to illustrate the result.

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Acknowledgements

Our sincere acknowledgements to the anonymous referees for their insightful remarks and suggestions. The second author has been supported by the Alexander-von Humboldt foundation.

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Correspondence to K. Hamdaoui.

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Dempe, S., Gadhi, N. & Hamdaoui, K. Minimizing the difference of two quasiconvex functions. Optim Lett 14, 1765–1779 (2020). https://doi.org/10.1007/s11590-019-01470-5

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