Variational inequalities on Hadamard manifolds

By Sándor Zoltán Németh. 2003

196 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/8fcc30c1ba374940d05f1693358c7c471d4cc8db

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In Applied Mathematics

In Computational Theory and Mathematics

Citations in the corpus

ITERATIVE ALGORITHMS FOR NONEXPANSIVE MAPPINGS ON HADAMARD MANIFOLDS (2010, unknown): “[28, 5, 21, 6, 7]).”
Existence of solutions for variational inequalities on Riemannian manifolds (2009, background): “1), which is an extension of the corresponding result in [6] from Hadamard manifolds to Riemannian manifolds.”
Nash-type equilibria on Riemannian manifolds: a variational approach (2016, methodology): “1 The obtuse-angle property and the non-expansiveness of the metric projection are also key tools behind the theory of monotone vector fields, proximal point algorithms and variational inequalities developed on Hadamard manifolds; see Li, López and Mart́ın-Márquez [24], [25], and Németh [31].”
Nonsmooth variational inequalities on Hadamard manifolds (2018, background): “Németh [1] considered these problems when h(x̄; exp−1x̄ y) = 〈Vx̄, exp−1x̄ y〉, whereV is the vector field onK.”
Resolvents of Set-Valued Monotone Vector Fields in Hadamard Manifolds (2011, background): “The study of accretive and monotone type operators in metric spaces has been the focus of many authors in the last decades; see, for example, [10, 12, 13, 22, 23, 27, 28, 30, 32, 34, 40, 44].”
Proximal point method for a special class of nonconvex functions on Hadamard manifolds (2008, unknown): “The extension of the concepts and techniques of the Mathematical Programming from Euclidean space to Riemannian manifolds occurs naturally and has been frequently done in recent years, with a theoretical purpose as well as to obtain effective algorithms; see Absil et all [1], Attouch et all [2], Aza”