Abstract
An example in Ref. 1 is corrected to show that indeed a strongly pseudoconvex function, which is only once but not twice differentiable, does not necessarily have a strongly pseudoconvex gradient.
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References
Hadjisavvas, N., andSchaible, S.,On Strong Pseudomonotonicity and (Semi)strict Quasimonotonicity, Journal of Optimization Theory and Applications, Vol. 79, pp. 139–155, 1993.
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Hadjisavvas, N., Schaible, S. On strong pseudomonotonicity and (semi)strict quasimonotonicity. J Optim Theory Appl 85, 741–742 (1995). https://doi.org/10.1007/BF02193065
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DOI: https://doi.org/10.1007/BF02193065