AN APPROACH TO GÂTEAUX AND FRÉCHET DIFFERENTIABILITY BASED ON DELTA-CONVEX FUNCTIONS

^{Cristinel Mortici}^†^{, Dan-Ștefan Marinescu‡}

The aim of this paper is to present an approach to Gˆateaux and Fr´echet differentiability based on delta-convex functions. We extend some results by Ivan and Ra¸sa and by Marumo and Takeda.

Keywords: convexity, Gˆateaux differentiability, Fr´echet differentiability, delta-convex functions.
MSC: 49J50.

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DOI 10.56082/annalsarscimath.2025.2.137

† Cristinel.mortici@hotmail.com, Valahia University of Taˆrgovi¸ste, Taˆrgovi¸ste, Romania; National University of Science & Technology Politehnica Bucharest; Academy of Romanian Scientists, 3 Ilfov, 050044, Bucharest, Romania
‡ marinescuds@gmail.com, National College “Iancu de Hunedoara”, Hunedoara, Romania

PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its Application, Volume 17 no 2, 2025

Cristinel Mortici†, Dan-Ștefan Marinescu‡

^{Cristinel Mortici}^†^{, Dan-Ștefan Marinescu‡}