Convergence of three-step iterations for nearly asymptotically nonexpansive mappings in \(\operatorname{CAT}(k)\) spaces

DOI10.1186/s13660-015-0670-zzbMath1336.54053OpenAlexW2163290595WikidataQ59432156 ScholiaQ59432156MaRDI QIDQ258127

Mihai Postolache, Alia Kurdi, 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/s13660-015-0670-z

zbMATH Keywords

strong convergencefixed point\(\Delta\)-convergence\(\operatorname{CAT}(k)\) spacenearly asymptotically nonexpansive mappingthree-step iteration scheme

Mathematics Subject Classification ID

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

Related Items

Some convergence results using \(K\) iteration process in CAT(0) spaces, Approximating fixed points of nearly asymptotically nonexpansive mappings in \(\mathrm{CAT}(k)\) spaces, Some convergence results for nearly asymptotically nonexpansive nonself mappings in CAT(\(\kappa\)) spaces, Unnamed Item, Bayesian estimation using (Linex) for generalized power function distribution

Cites Work

• Convergence of modified \(S\)-iteration process for two asymptotically nonexpansive mappings in the intermediate sense in CAT(0) spaces
• Strong convergence theorems by a hybrid extragradient-like approximation method for asymptotically nonexpansive mappings in the intermediate sense in Hilbert spaces
• On the strong convergence of a modified S-iteration process for asymptotically quasi-nonexpansive mappings in a CAT(0) space
• Common fixed point results in CAT(0) spaces
• Strong and \(\triangle\)-convergence of some iterative schemes in \(CAT(0)\) spaces
• Strong convergence theorems for variational inequalities and fixed point problems of asymptotically strict pseudocontractive mappings in the intermediate sense
• Mann's algorithm for nonexpansive mappings in CAT\((\kappa)\) spaces
• Implicit iterative algorithms for asymptotically nonexpansive mappings in the intermediate sense and Lipschitz-continuous monotone mappings
• A quadratic rate of asymptotic regularity for CAT(0)-spaces
• A concept of convergence in geodesic spaces
• Iterative algorithms for nonexpansive mappings on Hadamard manifolds
• CAT\((k)\)-spaces, weak convergence and fixed points
• Strong and \(\Delta\) convergence theorems for multivalued mappings in CAT(0) spaces
• Convergence analysis and applications of the Glowinski-Le Tallec splitting method for finding a zero of the sum of two maximal monotone operators
• Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
• New approximation schemes for general variational inequalities
• Fixed-point iterations for asymptotically nonexpansive mappings in Banach spaces
• Fixed point theorems for Lipschitzian type mappings in \(CAT(0)\) spaces
• Demiclosed principle and \(\Delta\)-convergence theorems for total asymptotically nonexpansive mappings in CAT(0) spaces
• Demiclosed principle for asymptotically nonexpansive mappings in CAT(0) spaces
• On \(\Delta\)-convergence theorems in CAT\((0)\) spaces
• On the strong and \(\triangle\)-convergence of SP-iteration on CAT(0) space
• A note on fixed point sets in CAT(0) spaces
• Reductive groups over a local field
• Lim's theorems for multivalued mappings in CAT(0) spaces
• Convexities of metric spaces
• Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
• Remarks on Some Fixed Point Theorems
• Fixed Point Iteration Processes for Asymptotically Nonexpansive Mappings
• Fixed Points by a New Iteration Method
• Fixed Point Theory for Lipschitzian-type Mappings with Applications
• A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
• Mean Value Methods in Iteration
• Approximating common fixed points of two asymptotically quasi-nonexpansive mappings in Banach spaces
• Weak and strong convergence theorems for fixed points of asymptotically nonexpansive mappings
• Three-step iterative algorithms for multivalued quasi variational inclusions
• Iterative sequences for asymptotically quasi-nonexpansive mappings.
• Iterative sequences for asymptotically quasi-nonexpansive mappings with error member
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item