NONSMOOTH GENERAL MINIMIZATION ON COMPLETE RIEMANNIAN MANIFOLDS

In this paper an application of non-smooth analysis on smooth manifolds, concerning, necessary conditions of optimality for a general minimization problem on a complete Riemannian manifold, is considered. Our key tool is a generalized Ekeland variational principle on complete Riemannian manifolds.

Keywords:

Ekeland variational principle , Riemannian manifold , Generalized gradient , Tangent cone