Geodesic
Geodesic $E$-Invex Sets and Geodesic $E$-Preinvex Functions on Riemannian Manifolds
Kragujevac Journal of Mathematics, Tome 48 (2024) no. 1, p. 67 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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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 
@article{KJM_2024_48_1_a4,
     author = {Zeynab Amirshekari and Hossein Mohebi},
     title = {Geodesic $E${-Invex} {Sets} and {Geodesic} $E${-Preinvex} {Functions} on {Riemannian} {Manifolds}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {67 },
     year = {2024},
     volume = {48},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2024_48_1_a4/}
}
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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/