Malaysian Journal of Mathematical Sciences, January 2019, Vol. 13, No. 1
Generalized Geodesic Convex Functions on Riemannian Manifolds
K?l?çman, A. and Saleh, W.
Corresponding Email: akilic@upm.edu.my
Received date: 7 March 2017
Accepted date: 14 January 2019
Abstract:
In the present paper, we introduce the generalized geodesic convex functions on Riemannian manifolds and present some of their properties.
Based on these properties, the generalized geodesic star-shaped functions are established. Results obtained in this paper may inspire future
research in convex analysis on manifolds.
Keywords: Geodesic convex sets, Geodesic convex functions, Riemannian manifolds
Indexing
