On the error estimation and T-stability of the Ishikawa iteration for strongly demicontractive mappings

DOI10.1186/s13660-019-2031-9zbMath1499.47035OpenAlexW2939161233WikidataQ128159407 ScholiaQ128159407MaRDI QIDQ2067795

Pengkun Huang, Xueli Li, Chao Wang

Publication date: 19 January 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-019-2031-9

zbMATH Keywords

error estimationIshikawa iterationMann iterationT-stabilitystrongly demicontractive mappings

Mathematics Subject Classification ID

Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15) Fixed-point iterations (47J26)

Related Items (2)

Unnamed Item ⋮ Stability and convergence rate of Jungck-type iterations for a pair of strongly demicontractive mappings in Hilbert spaces

Cites Work

• A comparative study on the convergence rate of some iteration methods involving contractive mappings
• On T-stability of the Picard iteration for generalized \(\varphi\)-contraction mappings
• On the error estimation and \(T\)-stability of the Mann iteration
• Iterative approximation of fixed points
• Efficacy of coefficients on rate of convergence of some iteration methods for quasi-contractions
• A note on the error estimation of the Mann iteration
• On Mann implicit iterations for strongly accretive and strongly pseudo-contractive mappings
• Approximation of fixed points of a strictly pseudocontractive mapping
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