Strong and \(\triangle\)-convergence theorems for total asymptotically nonexpansive nonself mappings in \(\mathrm{CAT}(0)\) spaces

DOI10.1186/1029-242X-2013-557zbMath1496.47123OpenAlexW2005154983WikidataQ59302104 ScholiaQ59302104MaRDI QIDQ2250310

Fu Hai Zhao, Li Yang

Publication date: 7 July 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-2013-557

zbMATH Keywords

strong convergence\(\triangle\)-convergence\(\mathrm{CAT}(0)\) spacetotal asymptotically nonexpansive nonself mappingsdemiclosed principle

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40) Fixed-point iterations (47J26)

Related Items

Viscosity approximation methods for the implicit midpoint rule of asymptotically nonexpansive mapping in complete CAT(0) spaces ⋮ Convergence analysis of new modified iterative approximating processes for two finite families of total asymptotically nonexpansive nonself mappings in hyperbolic 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

• Geodesic Ptolemy spaces and fixed points
• On asymptotic pointwise contractions in metric spaces
• A concept of convergence in geodesic spaces
• Demiclosed principle and \(\Delta\)-convergence theorems for total asymptotically nonexpansive mappings in CAT(0) spaces
• On \(\Delta\)-convergence theorems in CAT\((0)\) spaces
• Fixed points of uniformly Lipschitzian mappings
• Convergence theorems for total asymptotically nonexpansive non-self mappings in CAT(0) spaces
• FIXED POINTS OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN THE INTERMEDIATE SENSE IN CAT(0) SPACES

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