An affirmative answer to the open questions on the viscosity approximation methods for nonexpansive mappings in CAT(0) spaces

DOI10.22436/JNSA.009.06.94zbMath1477.47084OpenAlexW2792994727MaRDI QIDQ2827864

Gang Wang, Li Juan Qin, Lin Wang, Shi Sheng Zhang

Publication date: 21 October 2016

Published in: Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://www.isr-publications.com/jnsa/articles-2706-an-affirmative-answer-to-the-open-questions-on-the-viscosity-approximation-methods-for-nonexpansive-mappings-in-cat0-spaces

zbMATH Keywords

strong convergencefixed pointCAT(0) spaceviscosity approximation methodmultivalued nonexpansive mappingnice projection property \(\mathbb N\)

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Fixed-point iterations (47J26)

Related Items (2)

Strong convergence of new two-step viscosity iterative approximation methods for set-valued nonexpansive mappings in \(\mathrm{CAT}(0)\) spaces ⋮ New two types of semi-implicit viscosity iterations for approximating the fixed points of nonexpansive operators associated with contraction operators and applications

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