Dini Derivative and a Characterization for Lipschitz and Convex Functions on Riemannian Manifolds

Orizon Ferreira (orizonmat.ufg.br)

Abstract: Dini derivative on Riemannian manifold setting is studied in this paper. In addition, a characterization for Lipschitz and convex functions defined on Riemannian manifolds and sufficient optimality conditions for constraint optimization problems in terms of the Dini derivative are given.

Keywords: Dini derivative, Convex functions, Lipschitz functions, Riemannian manifolds

Category 1: Convex and Nonsmooth Optimization

Category 2: Convex and Nonsmooth Optimization (Nonsmooth Optimization )

Category 3: Convex and Nonsmooth Optimization (Convex Optimization )

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Entry Submitted: 11/06/2006
Entry Accepted: 11/06/2006
Entry Last Modified: 11/06/2006

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