On geodesic strongly E-convex sets and geodesic strongly E-convex functions

被引：13

作者：

Kilicman, Adem ^{[1
]}

Saleh, Wedad ^{[1
]}

机构：

[1] Univ Putra Malaysia, Dept Math, Serdang, Malaysia

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2015年

关键词：

geodesic E-convex sets; geodesic E-convex functions; Riemanniann manifolds; PREINVEX;

D O I：

10.1186/s13660-015-0824-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, geodesic E-convex sets and geodesic E-convex functions on a Riemannian manifold are extended to the so-called geodesic strongly E-convex sets and geodesic strongly E-convex functions. Some properties of geodesic strongly E-convex sets are also discussed. The results obtained in this article may inspire future research in convex analysis and related optimization fields.

引用

页数：10

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