A new iterative scheme for numerical reckoning fixed points of total asymptotically nonexpansive mappings

DOI10.1186/s13663-016-0573-9zbMath1342.47082OpenAlexW2501248516WikidataQ59461395 ScholiaQ59461395MaRDI QIDQ737239

Wutiphol Sintunavarat, Adoon Pansuwan

Publication date: 9 August 2016

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13663-016-0573-9

zbMATH Keywords

total asymptotically nonexpansive mappingsmodified Picard-Ishikawa hybrid iterationmodified Picard-Mann hybrid iteration

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point and coincidence theorems (topological aspects) (54H25)

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Strong convergence of a new hybrid iterative scheme for nonexpansive mappings and applications ⋮ Convergence results for total asymptotically nonexpansive monotone mappings in modular function spaces ⋮ Fixed points of monotone total asymptotically nonexpansive mapping in hyperbolic space via new algorithm ⋮ Convergence analysis of modified Picard-S hybrid iterative algorithms for total asymptotically nonexpansive mappings in Hadamard spaces ⋮ Hybrid algorithm with perturbations for total asymptotically non-expansive mappings in CAT(0) space

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