Convergence of modified \(S\)-iteration process for two asymptotically nonexpansive mappings in the intermediate sense in CAT(0) spaces

DOI10.1186/1029-242X-2014-368zbMath1334.54066OpenAlexW2143325758WikidataQ59306936 ScholiaQ59306936MaRDI QIDQ257758

Poom Kumam, Hemant Kumar Nashine, Gurucharan Singh Saluja

Publication date: 17 March 2016

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2014-368

zbMATH Keywords

strong convergenceCAT(0) spacecommon fixed pointmodified \(S\)-iteration process\(\delta\)-convergenceasymptotically nonexpansive mapping in the intermediate sense

Mathematics Subject Classification ID

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

Related Items (10)

The modified S-iteration process for nonexpansive mappings in \(\mathrm{CAT}(\kappa)\) spaces ⋮ An inertial S-iteration process for a common fixed point of a family of quasi-Bregman nonexpansive mappings ⋮ Approximating fixed points of generalized nonexpansive mappings in \(\mathrm{CAT}(k)\) spaces via modified \(S\)-iteration process ⋮ Convergence analysis of new modified iterative approximating processes for two finite families of total asymptotically nonexpansive nonself mappings in hyperbolic spaces ⋮ One-step iterations for a finite family of generalized nonexpansive mappings in CAT(0) spaces ⋮ A new iterative scheme in CAT(0) spaces with convergence analysis ⋮ Viscosity approximation methods for asymptotically nonexpansive mapping in CAT(0) spaces ⋮ Unnamed Item ⋮ General modified viscosity implicit rules for generalized asymptotically nonexpansive mappings in complete \(\operatorname{CAT}(0)\) spaces ⋮ Convergence of three-step iterations for nearly asymptotically nonexpansive mappings in \(\operatorname{CAT}(k)\) spaces

Cites Work

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• Strong convergence of a general iteration scheme in \(CAT(0)\) spaces
• Strong and \(\triangle\)-convergence of some iterative schemes in \(CAT(0)\) spaces
• On asymptotic pointwise contractions in metric spaces
• Convergence of iterates with errors of asymptotically quasi-nonexpansive mappings and applications
• A concept of convergence in geodesic spaces
• Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
• Demiclosed principle for asymptotically nonexpansive mappings in CAT(0) spaces
• On \(\Delta\)-convergence theorems in CAT\((0)\) spaces
• Fixed points of uniformly Lipschitzian mappings
• Reductive groups over a local field
• Fixed point theorems in CAT(0) spaces and \(\mathbb R\)-trees
• Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
• Approximating Fixed Points of Nonexpansive Mappings
• Fixed Point Iteration Processes for Asymptotically Nonexpansive Mappings
• Convergence of iterates of asymptotically nonexpansive mappings in Banach spaces with the uniform Opial property
• FIXED POINTS OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN THE INTERMEDIATE SENSE IN CAT(0) SPACES
• An Introduction to Metric Spaces and Fixed Point Theory
• A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
• Approximating common fixed points of two asymptotically quasi-nonexpansive mappings in Banach spaces
• Iterative sequences for asymptotically quasi-nonexpansive mappings.
• Iterative sequences for asymptotically quasi-nonexpansive mappings with error member

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