On the convergence, stability and data dependence results of the JK iteration process in Banach spaces

DOI10.1515/math-2023-0101zbMath1529.47129OpenAlexW4386077643MaRDI QIDQ6083261

Muhammad Ibrar, Junaid Ahmad, Naeem Saleem, Kifayat Ullah, Fahd Jarad, Hazrat Bilal

Publication date: 31 October 2023

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2023-0101

zbMATH Keywords

stabilitystrong convergenceweak convergenceBanach spacedata dependenceGarcia-Falset mapJK-iteration

Mathematics Subject Classification ID

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

Cites Work

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• Fixed point theory for a class of generalized nonexpansive mappings
• A new iterative scheme for numerical reckoning fixed points of Suzuki's generalized nonexpansive mappings
• Iterative approximation of fixed points
• Data dependence for Ishikawa iteration when dealing with contractive-like operators
• New approximation schemes for general variational inequalities
• A new iterative method for Suzuki mappings in Banach spaces
• Some new generalizations of \(F\)-contraction type mappings that weaken certain conditions on Caputo fractional type differential equations
• Convergence of generalized quasi-nonexpansive mappings in hyperbolic space
• Fixed points of generalized \(\alpha\)-Meir-Keeler contraction mappings in \(S_b\)-metric spaces
• Fixed point theorems and convergence theorems for some generalized nonexpansive mappings
• Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
• Approximating Fixed Points of Nonexpansive Mappings
• Fixed Point Theorems in Uniformly Convex Banach Spaces
• Fixed Points by a New Iteration Method
• Numerical reckoning fixed points for Suzuki’s generalized nonexpansive mappings via new iteration process
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• Mean Value Methods in Iteration
• Approximating fixed points of mappings satisfying condition (\(E\)) in Busemann space