Two modified proximal point algorithms in geodesic spaces with curvature bounded above
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Publication:2422575
DOI10.1007/s12215-018-0340-3zbMath1423.53052arXiv1704.01360OpenAlexW2963963225MaRDI QIDQ2422575
Fumiaki Kohsaka, Yasunori Kimura
Publication date: 20 June 2019
Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.01360
Convex programming (90C25) Equations involving nonlinear operators (general) (47J05) Convex functions and convex programs in convex geometry (52A41) Geodesics in global differential geometry (53C22) Direct methods ((G)-spaces of Busemann, etc.) (53C70)
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Cites Work
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- Spherical nonspreadingness of resolvents of convex functions in geodesic spaces
- Convex functions and barycenter on CAT(1)-spaces of small radii
- Halpern iteration for strongly quasinonexpansive mappings on a geodesic space with curvature bounded above by one
- The Mann algorithm in a complete geodesic space with curvature bounded above
- Convergence of subsets of a complete geodesic space with curvature bounded above
- Proximal point methods for monotone operators in Banach spaces
- Approximation of zeros of inverse strongly monotone operators in Banach spaces
- Discrete-time gradient flows and law of large numbers in Alexandrov spaces
- A concept of convergence in geodesic spaces
- CAT\((k)\)-spaces, weak convergence and fixed points
- Strong convergence of contraction semigroups and of iterative methods for accretive operators in Banach spaces
- On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators
- Produits infinis de resolvantes
- Gradient flows on nonpositively curved metric spaces and harmonic maps
- Projection and proximal point methods: Convergence results and counterexamples.
- Porosity results for sets of strict contractions on geodesic metric spaces
- Approximating solutions of maximal monotone operators in Hilbert spaces
- Convex functionals and generalized harmonic maps into spaces of non positive curvature
- The proximal point algorithm in metric spaces
- Forcing strong convergence of proximal point iterations in a Hilbert space
- The asymptotic behavior of a class of nonlinear semigroups in Hadamard spaces
- Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
- Convex analysis and optimization in Hadamard spaces
- Iterative Algorithms for Nonlinear Operators
- Proximal minimization in CAT$(\kappa)$ spaces
- Firmly nonexpansive mappings in classes of geodesic spaces
- Nonexpansive iterations in hyperbolic spaces
- On the Convergence of the Proximal Point Algorithm for Convex Minimization
- Remarks on Some Fixed Point Theorems
- Monotone Operators and the Proximal Point Algorithm
- Convexity and the Hemisphere
- The proximal point algorithm in geodesic spaces with curvature bounded above
- Convex analysis and monotone operator theory in Hilbert spaces
