Viscosity approximation methods for multivalued nonexpansive mappings in geodesic spaces

DOI10.1186/s13663-015-0356-8zbMath1443.47073OpenAlexW1606728604WikidataQ59430779 ScholiaQ59430779MaRDI QIDQ287924

Bancha Panyanak, Suthep Suantai

Publication date: 23 May 2016

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13663-015-0356-8

zbMATH Keywords

strong convergencefixed pointviscosity approximation method\(\operatorname{CAT}(0)\) spacemultivalued nonexpansive mapping

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Set-valued maps in general topology (54C60) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

On solving variational inequalities defined on fixed point sets of multivalued mappings in Banach spaces ⋮ The viscosity approximation method for multivalued \(G\)-nonexpansive mappings in Hadamard spaces endowed with graphs ⋮ An affirmative answer to Panyanak and Suantai's open question on the viscosity approximation methods for a nonexpansive multi-valued mapping in CAT(0) spaces ⋮ Strong convergence of new two-step viscosity iterative approximation methods for set-valued nonexpansive mappings in \(\mathrm{CAT}(0)\) spaces ⋮ Some results on the approximation of solutions of variational inequalities for multivalued maps on Banach spaces ⋮ Generalized implicit viscosity approximation method for multivalued mappings in CAT(0) spaces

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