On strong and Δ -convergence of modified S-iteration for uniformly continuous total asymptotically nonexpansive mappings in CAT(κ) spaces

DOI10.22436/JNSA.008.06.07zbMath1443.47081OpenAlexW2793613377MaRDI QIDQ3455328

Plern Saipara, Poom Kumam, Parin Chaipunya, Yeol Je Cho

Publication date: 4 December 2015

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

Full work available at URL: http://www.tjnsa.com/includes/files/articles/Vol8_Iss6_965--975_On_strong_and_Delta-convergence_of.pdf

zbMATH Keywords

fixed point \(\Delta\)-convergence total asymptotically nonexpansive mapping \(S\)-iteration CAT(\(\kappa\)) space

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Special maps on metric spaces (54E40) Fixed-point iterations (47J26)

Related Items (9)

The modified S-iteration process for nonexpansive mappings in \(\mathrm{CAT}(\kappa)\) spaces ⋮ Proximal point algorithms based on \(S\)-iterative technique for nearly asymptotically quasi-nonexpansive mappings and applications ⋮ Approximating fixed points of generalized nonexpansive mappings in \(\mathrm{CAT}(k)\) spaces via modified \(S\)-iteration process ⋮ Unnamed Item ⋮ One-step iterations for a finite family of generalized nonexpansive mappings in CAT(0) spaces ⋮ An iteration scheme for contraction mappings with an application to synchronization of discrete logistic maps ⋮ Unnamed Item ⋮ Modified viscosity type iteration for total asymptotically nonexpansive mappings in CAT(0) spaces and its application to optimization problems ⋮ The numerical reckoning of modified proximal point methods for minimization problems in non-positive curvature metric spaces

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