Strong convergence of new two-step viscosity iterative approximation methods for set-valued nonexpansive mappings in \(\mathrm{CAT}(0)\) spaces

DOI10.1155/2018/1280241zbMath1502.65028OpenAlexW2811201772MaRDI QIDQ725168

Heng-you Lan, Ting-jian Xiong

Publication date: 1 August 2018

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/1280241

zbMATH Keywords

fixed pointsstrong convergence\(\mathrm{CAT}(0)\) spacesset-valued nonexpansive mappingstwo-step viscosity iteration approximation methods

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point and coincidence theorems (topological aspects) (54H25) Numerical solutions to equations with nonlinear operators (65J15) Special maps on metric spaces (54E40)

Related Items (5)

New generalized systems of nonlinear ordered variational inclusions involving \(\bigoplus\) operator in real ordered Hilbert spaces ⋮ On new Picard-Mann iterative approximations with mixed errors for implicit midpoint rule and applications ⋮ General modified viscosity implicit rules for generalized asymptotically nonexpansive mappings in complete \(\operatorname{CAT}(0)\) spaces ⋮ New two types of semi-implicit viscosity iterations for approximating the fixed points of nonexpansive operators associated with contraction operators and applications ⋮ Generalized implicit viscosity approximation method for multivalued mappings in CAT(0) spaces

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