Basic Convex Analysis in Metric Spaces with Bounded Curvature (Q6188507)

scientific article; zbMATH DE number 7801123

Language	Label	Description	Also known as
English	Basic Convex Analysis in Metric Spaces with Bounded Curvature	scientific article; zbMATH DE number 7801123

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instance of

scholarly article

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title

Basic Convex Analysis in Metric Spaces with Bounded Curvature (English)

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SIAM Journal on Optimization

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publication date

7 February 2024

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full work available at URL

https://arxiv.org/abs/2302.03588

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Mathematics Subject Classification ID

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subdifferential

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normal cone

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Alexandrov spaces

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MaRDI profile type

MaRDI publication profile

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OpenAlex ID

W4391029687

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cites work

Duality and subdifferential for convex functions on complete \(CAT(0)\) metric spaces

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Generalized Riemannian spaces

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Q4663947

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Chebyshev sets in geodesic spaces

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Convex analysis and optimization in Hadamard spaces

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Old and new challenges in Hadamard spaces

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Convex analysis and monotone operator theory in Hilbert spaces

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Quasilinearization and curvature of Aleksandrov spaces

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A Parallel Douglas–Rachford Algorithm for Minimizing ROF-like Functionals on Images with Values in Symmetric Hadamard Manifolds

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Q3452586

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Geometry of the space of phylogenetic trees

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An Introduction to Optimization on Smooth Manifolds

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Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers

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Q4720067

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Q2731895

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Monotone Vector Fields and Generation of Nonexpansive Semigroups in Complete CAT(0) Spaces

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Q4375488

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REMARKS ON STRICT CONVEXITY AND BETWEENNESS POSTULATES

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CAT\((k)\)-spaces, weak convergence and fixed points

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A differential perspective on gradient flows on \(\mathbf{\mathsf{CAT}} (\kappa)\)-spaces and applications

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Convex functionals and generalized harmonic maps into spaces of non positive curvature

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A uniform betweenness property in metric spaces and its role in the quantitative analysis of the ``lion-man'' game

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Jensen's inequality on convex spaces

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Kirszbraun's theorem and metric spaces of bounded curvature

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Monotone vector fields and the proximal point algorithm on Hadamard manifolds

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Resolvents of set-valued monotone vector fields in Hadamard manifolds

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Weak Sharp Minima on Riemannian Manifolds

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Fenchel Duality and a Separation Theorem on Hadamard Manifolds

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Gradient flows on nonpositively curved metric spaces and harmonic maps

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Convex Analysis and Beyond

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On the density theorem for the subdifferential of convex functions on Hadamard spaces

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Asymptotic behavior of averaged and firmly nonexpansive mappings in geodesic spaces

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The tangent cone of an Aleksandrov space of curvature \(\leq K\)

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Convexities of metric spaces

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Convex Analysis

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Variational Analysis

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Optimization Techniques on Riemannian Manifolds

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The consistency and convergence of K-energy minimizing movements

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Q4310716

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Wikidata QID

Q129688629

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Sitelinks

Mathematics(1 entry)

mardi Publication:6188507