Weak \(w^{2}\)-stability and data dependence of Mann iteration method in Hilbert spaces

DOI10.1007/s13398-017-0447-yzbMath1450.47028OpenAlexW2762965317MaRDI QIDQ1736960

Vatan Karakaya, Müzeyyen Ertürk, Abdul Rahim Khan, Faik Gürsoy

Publication date: 26 March 2019

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-017-0447-y

zbMATH Keywords

stabilityMann iterationdata dependencystrongly demicontractive operator

Mathematics Subject Classification ID

Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Fixed-point iterations (47J26)

Related Items

Some convergence, stability, and data dependence results for $K^{\ast }$ iterative method of quasi-strictly contractive mappings, Unnamed Item, Stability and convergence rate of Jungck-type iterations for a pair of strongly demicontractive mappings in Hilbert spaces, Error Estimate of Data Dependence for Discontinuous Operators by New Iteration Process with Convergence Analysis, A comparative study on iterative algorithms of almost contractions in the context of convergence, stability and data dependency, Convergence, weak \(w^2\) stability, and data dependence results for the \(F\) iterative scheme in hyperbolic spaces

Cites Work

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• Strong convergence of the mann iteration for -demicontractive mappings
• On the error estimation and \(T\)-stability of the Mann iteration
• Existence and data dependence of the fixed points of generalized contraction mappings with applications
• Algorithms for the split variational inequality problem
• Iterative approximation of fixed points
• Data dependence for Ishikawa iteration when dealing with contractive-like operators
• Analytical and numerical treatment of Jungck-type iterative schemes
• Mann iteration process for asymptotic pointwise nonexpansive mappings in metric spaces
• Data dependence of the fixed point set of some multivalued weakly Picard operators.
• A note on the error estimation of the Mann iteration
• Data dependence results of new multi-step and S-iterative schemes for contractive-like operators
• Existence and data dependence of fixed points for multivalued operators on gauge spaces
• Jungck-Khan iterative scheme and higher convergence rate
• Approximating common fixed points for a pair of generalized nonlinear mappings in convex metric space
• Stability and data dependence results for the Jungck--Khan iterative scheme
• ALMOST STABILITY OF THE MANN ITERATION METHOD WITH ERRORS FOR STRICTLY HEMI-CONTRACTIVE OPERATORS IN SMOOTH BANACH SPACES
• A Rate of Asymptotic Regularity for the Mann Iteration of κ-Strict Pseudo-Contractions
• FIBONACCI–MANN ITERATION FOR MONOTONE ASYMPTOTICALLY NONEXPANSIVE MAPPINGS
• The Round‐off Stability of Iterations
• Mean Value Methods in Iteration