\(\triangle\)-convergence for mixed-type total asymptotically nonexpansive mappings in hyperbolic spaces

DOI10.1186/1029-242X-2013-553zbMath1496.47122OpenAlexW2170752679WikidataQ59302106 ScholiaQ59302106MaRDI QIDQ2250314

Li-Li Wan

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-2013-553

zbMATH Keywords

hyperbolic space\(\triangle\)-convergencetotal asymptotically nonexpansive mappingsmixed Agarwal-O'Regan-Sahu type iterative scheme

Mathematics Subject Classification ID

Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Fixed-point iterations (47J26)

Related Items (6)

Some convergence results for modified SP-iteration scheme in hyperbolic spaces ⋮ Fixed point approximation for asymptotically nonexpansive type mappings in uniformly convex hyperbolic spaces ⋮ \(\Delta\)-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 ⋮ Modified viscosity type iteration for total asymptotically nonexpansive mappings in CAT(0) spaces and its application to optimization problems

Cites Work

• A convexity in metric space and nonexpansive mappings. I.
• Nonexpansive iterations in hyperbolic spaces
• Some logical metatheorems with applications in functional analysis

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