Convergence theorems for total asymptotically nonexpansive non-self mappings in CAT(0) spaces

DOI10.1186/1029-242X-2013-135zbMath1281.47061OpenAlexW2013146581WikidataQ59301735 ScholiaQ59301735MaRDI QIDQ2636670

Lin Wang, Shi Sheng Zhang, Zhao Li Ma

Publication date: 31 January 2014

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2013-135

zbMATH Keywords

CAT(0) space\(\delta\)-convergencetotal asymptotically nonexpansive nonself mappingsdemiclosed principle

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 (7)

\(\Delta\)-convergence analysis of improved Kuhfittig iterative for asymptotically nonexpansive nonself-mappings in \(W\)-hyperbolic spaces ⋮ Convergence theorems for total asymptotically nonexpansive mappings in \(\mathrm{CAT} (\kappa)\) spaces ⋮ Convergence analysis of new modified iterative approximating processes for two finite families of total asymptotically nonexpansive nonself mappings in hyperbolic spaces ⋮ Strong and \(\triangle\)-convergence theorems for total asymptotically nonexpansive nonself mappings in \(\mathrm{CAT}(0)\) spaces ⋮ On total asymptotically nonexpansive mappings in CAT(\(\kappa\)) spaces ⋮ A new iterative scheme in CAT(0) spaces with convergence analysis ⋮ Modified viscosity type iteration for total asymptotically nonexpansive mappings in CAT(0) spaces and its application to optimization problems

Cites Work

• A quadratic rate of asymptotic regularity for CAT(0)-spaces
• A concept of convergence in geodesic spaces
• Fixed point results for multimaps in CAT(0) spaces
• Invariant approximations in CAT(0) spaces
• Fixed point theorems and convergence theorems for Suzuki-generalized nonexpansive mappings in CAT(0) spaces
• Demiclosed principle and \(\Delta\)-convergence theorems for total asymptotically nonexpansive mappings in CAT(0) spaces
• On \(\Delta\)-convergence theorems in CAT\((0)\) spaces
• Invariant approximations for commuting mappings in CAT(0) and hyperconvex spaces
• Fixed points of uniformly Lipschitzian mappings
• Lim's theorems for multivalued mappings in CAT(0) spaces

This page was built for publication: Convergence theorems for total asymptotically nonexpansive non-self mappings in CAT(0) spaces