On \(\triangle\)-convergence of iterative sequences in \(\operatorname{CAT}(0)\) spaces

DOI10.1007/S10013-019-00338-6zbMath1443.47074OpenAlexW2921424886MaRDI QIDQ2174225

Pongsakorn Yotkaew, Satit Saejung

Publication date: 21 April 2020

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10013-019-00338-6

zbMATH Keywords

strong convergencefixed pointnonexpansive mappingMann iteration\(\triangle\)-convergencequasi-nonexpansive mapping\(\operatorname{CAT}(0)\) space

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Special maps on metric spaces (54E40)

Related Items (2)

Unnamed Item ⋮ Convergence theorems for asymptotically quasi-nonexpansive sequences with applications

Cites Work

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• \(\Delta\)-convergence of the modified Mann iteration in complete CAT(0) spaces
• A concept of convergence in geodesic spaces
• Convergence theorems for inertial KM-type algorithms
• A note on ``Common fixed point of multistep noor iteration with errors for a finite family of generalized asymptotically quasi-nonexpansive mappings
• Halpern's iteration in CAT(0) spaces
• Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
• Approximating Fixed Points of Nonexpansive Mappings
• Remarks on Some Fixed Point Theorems
• Weak convergence of the sequence of successive approximations for nonexpansive mappings

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