Dini derivative and a characterization for Lipschitz and convex functions on Riemannian manifolds |
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| Authors: | OP Ferreira |
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| Institution: | Universidade Federal de Goiás, Instituto de Matemática e Estatística, Campus Samambaia, Caixa Postal 131, Goiânia, GO, 74001-970, Brazil |
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| Abstract: | Dini derivatives in Riemannian manifold settings are 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. |
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| Keywords: | Dini derivative Convex functions Lipschitz functions Riemannian manifolds |
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