S. Eshghinezhad - Isfahan Univ-Department of Mathematics
S. Hosseini - Isfahan Univ– Department of Mathematics –

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.

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