Viscosity approximation methods for asymptotically nonexpansive mapping in CAT(0) spaces

DOI10.1186/s13663-015-0273-xzbMath1321.47152OpenAlexW2136771129WikidataQ59425584 ScholiaQ59425584MaRDI QIDQ2017689

Pakkapon Preechasilp, Rabian Wangkeeree, Uraiwan Boonkong

Publication date: 23 March 2015

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

Full work available at URL: https://doi.org/10.1186/s13663-015-0273-x

zbMATH Keywords

strong convergencevariational inequalityasymptotically nonexpansive mappingCAT(0) spacecommon fixed pointviscosity approximation method

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Viscosity approximation methods for monotone inclusion and fixed point problems in CAT(0) space ⋮ A viscosity iterative algorithm for a family of monotone inclusion problems in an Hadamard space ⋮ Unnamed Item ⋮ Successive approximations for common fixed points of a family of \(\alpha \)-nonexpansive mappings ⋮ A viscosity-type algorithm for an infinitely countable family of \((f,g)\)-generalized \(k\)-strictly pseudononspreading mappings in \(\operatorname{CAT}(0)\) spaces ⋮ Convergence theorem for solving a new concept of the split variational inequality problems and application ⋮ Unnamed Item ⋮ Strong convergence of modified viscosity implicit approximation methods for asymptotically nonexpansive mappings in complete CAT(0) spaces ⋮ Common fixed points of monotone \(\rho\)-nonexpansive semigroup in modular spaces ⋮ Modified viscosity type iteration for total asymptotically nonexpansive mappings in CAT(0) spaces and its application to optimization problems

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