Viscosity Iteration in CAT(κ) Spaces

DOI10.1080/01630563.2013.767270zbMath1291.47058arXiv1207.3949OpenAlexW2109598336MaRDI QIDQ5396930

Bozena Piatek

Publication date: 4 February 2014

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.3949

zbMATH Keywords

fixed pointsnonexpansive mappingsproperty NCAT({\(\kappa\)}) spacesviscosity iterates

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Geodesics in global differential geometry (53C22) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (8)

Chebyshev sets in geodesic spaces ⋮ Generalized hybrid mappings on CAT(\(\kappa\)) spaces ⋮ The asymptotic behavior of the composition of firmly nonexpansive mappings ⋮ Unnamed Item ⋮ Strong convergence of new two-step viscosity iterative approximation methods for set-valued nonexpansive mappings in \(\mathrm{CAT}(0)\) spaces ⋮ Unnamed Item ⋮ New two types of semi-implicit viscosity iterations for approximating the fixed points of nonexpansive operators associated with contraction operators and applications ⋮ Viscosity iteration method in CAT(0) spaces without the nice projection property

Cites Work

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• Halpern iteration in CAT\((\kappa)\) spaces
• Strong convergence of a general iteration scheme in \(CAT(0)\) spaces
• Strong and \(\triangle\)-convergence of some iterative schemes in \(CAT(0)\) spaces
• A concept of convergence in geodesic spaces
• Approximating fixed points of nonexpansive nonself mappings in CAT(0) spaces
• CAT\((k)\)-spaces, weak convergence and fixed points
• On a distance between directions in an Aleksandrov space of curvature \(\leq K\)
• Viscosity approximation methods for fixed-points problems
• Iterative approximation of fixed points of nonexpansive mappings
• On \(\Delta\)-convergence theorems in CAT\((0)\) spaces
• Iterative Algorithms for Nonlinear Operators

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