Generalized Geodesic Convexity on Riemannian Manifolds

Generalized Geodesic Convexity on Riemannian Manifolds

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 g...

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Bibliographic Details
Main Authors: Izhar Ahmad, Meraj Ali Khan, Amira A. Ishan
Format: Article
Language:English
Published: MDPI AG 2019-06-01
Series:Mathematics
Subjects:
geodesic log-invex function
geodesic log-preinvex function
global minimum
mean value inequality
Riemannian manifolds
Online Access:https://www.mdpi.com/2227-7390/7/6/547

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https://www.mdpi.com/2227-7390/7/6/547

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