Geodesic
Geodesic $E$-Invex Sets and Geodesic $E$-Preinvex Functions on Riemannian Manifolds
Kragujevac Journal of Mathematics, Tome 48 (2024) no. 1, p. 67 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

In this paper, we first introduce two new classes of sets and functions called geodesic $E$-invex sets and geodesic $E$-preinvex functions on a Riemannian manifold, respectively. Moreover, we present the definition and properties of geodesic $E$-quasi-preinvex functions on Riemannian manifolds. Finally, we investigate the properties and characterizations of these two classes of sets and functions.
Classification : 26B25, 15A18, 49J52, 90C56
Keywords: Geodesic $E$-invex set, geodesic $E$-preinvex function, geodesic $E$-quasi-preinvex function, Riemannian manifold 
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     author = {Zeynab Amirshekari and Hossein Mohebi},
     title = {Geodesic $E${-Invex} {Sets} and {Geodesic} $E${-Preinvex} {Functions} on {Riemannian} {Manifolds}},
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Zeynab Amirshekari; Hossein Mohebi. Geodesic $E$-Invex Sets and Geodesic $E$-Preinvex Functions on Riemannian Manifolds. Kragujevac Journal of Mathematics, Tome 48 (2024) no. 1, p. 67 . http://geodesic.mathdoc.fr/item/KJM_2024_48_1_a4/