On the strong convergence of a modified S-iteration process for asymptotically quasi-nonexpansive mappings in a CAT(0) space
From MaRDI portal
Publication:395223
DOI10.1186/1687-1812-2013-12zbMath1298.47077OpenAlexW2141749158WikidataQ59294555 ScholiaQ59294555MaRDI QIDQ395223
Publication date: 29 January 2014
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-1812-2013-12
Iterative procedures involving nonlinear operators (47J25) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Special maps on metric spaces (54E40)
Related Items
Existence and convergence theorems of fixed points for multi-valued SCC-, SKC-, KSC-, SCS- and C-type mappings in hyperbolic spaces ⋮ \(\Delta\)-convergence theorems for multi-valued nonexpansive mappings in hyperbolic spaces ⋮ Some convergence results for nearly asymptotically nonexpansive nonself mappings in CAT(\(\kappa\)) spaces ⋮ On the strong and $\Delta$-convergence theorems for total asymptotically nonexpansive mappings on CAT(0) space ⋮ Convergence analysis of a general iteration schema of nonlinear mappings in hyperbolic spaces ⋮ On the strong and \(\triangle\)-convergence of SP-iteration on CAT(0) space ⋮ Unnamed Item ⋮ On the strong and \(\delta\)-convergence of new multi-step and \(S\)-iteration processes in a \(\mathrm{CAT}(0)\) space ⋮ Convergence analysis of a multi-step iteration for a finite family of asymptotically quasi-nonexpansive mappings ⋮ Strong and \(\triangle\)-convergence theorems for two asymptotically nonexpansive mappings in the intermediate sense in \(\operatorname{CAT}(0)\) spaces ⋮ Some Convergence Results of the $$K^{*}$$ Iteration Process in CAT(0) Spaces ⋮ Convergence of modified \(S\)-iteration process for two asymptotically quasi-nonexpansive type mappings in CAT(0) spaces ⋮ Convergence of three-step iterations for nearly asymptotically nonexpansive mappings in \(\operatorname{CAT}(k)\) spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Strong convergence of a general iteration scheme in \(CAT(0)\) spaces
- Strong and \(\triangle\)-convergence of some iterative schemes in \(CAT(0)\) spaces
- Invariant approximation for CAT(0) spaces
- Convergence of iterates with errors of asymptotically quasi-nonexpansive mappings and applications
- 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
- Fixed Point Iteration Processes for Asymptotically Nonexpansive Mappings
- On the structure of the set of subsequential limit points of successive approximations
- A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
- Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu
- Iterative sequences for asymptotically quasi-nonexpansive mappings.
