Halpern iteration for strongly quasinonexpansive mappings on a geodesic space with curvature bounded above by one

DOI10.1186/1687-1812-2013-7zbMath1423.47042OpenAlexW2164625852WikidataQ59303038 ScholiaQ59303038MaRDI QIDQ395230

Kenzi Satô, Yasunori Kimura

Publication date: 29 January 2014

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2013-7

zbMATH Keywords

fixed pointHalpern iterationCAT(1) space\(\delta\)-demiclosedstrongly quasinonexpansive

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)

Related Items

Spherical nonspreadingness of resolvents of convex functions in geodesic spaces ⋮ Remarks on endpoints of multivalued mappings in geodesic spaces ⋮ Unnamed Item ⋮ The Mann algorithm in a complete geodesic space with curvature bounded above ⋮ Two modified proximal point algorithms in geodesic spaces with curvature bounded above ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Optimal parameter selections for a general Halpern iteration ⋮ Some convergence theorems for contractive type mappings in \(CAT(0)\) spaces ⋮ Convex feasibility problems on uniformly convex metric spaces ⋮ A Halpern Type Iterative Scheme for a Finite Number of Mappings in Complete Geodesic Spaces with Curvature Bounded above

Cites Work

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