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

Journal of inequalities and applications

Adem Kı¹ 

关键词: geodesic E-convex sets;    geodesic E-convex functions;    Riemannian manifolds;    52A20;    52A41;    53C20;    53C22;   

DOI  :  10.1186/s13660-015-0824-z

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY