%0 Journal Article
%T Generalized Geodesic Convexity on Riemannian Manifolds
%J Mathematics | An Open Access Journal from MDPI
%D 2019
%R https://doi.org/10.3390/math7060547
%X We introduce log-preinvex and log-invex functions on a Riemannian manifold. Some properties and relationships of these functions are discussed. A characterization for the existence of a global minimum point of a mathematical programming problem is presented. Moreover, a mean value inequality under geodesic log-preinvexity is extended to Cartan-Hadamard manifolds. View Full-Tex
%U https://www.mdpi.com/2227-7390/7/6/547