Stability and data dependence results for the Jungck--Khan iterative scheme

DOI10.3906/mat-1503-1zbMath1424.47149OpenAlexW2321208686MaRDI QIDQ4633139

Vivek Kumar, Faik Gürsoy, Abdul Rahim Khan

Publication date: 2 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1503-1

zbMATH Keywords

stabilityconvergencedata dependencyJungck-Khan iterative schemeweak \(w^{2}\)-stability

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25)

Related Items (13)

Iterative algorithms of generalized nonexpansive mappings and monotone operators with application to convex minimization problem ⋮ Unnamed Item ⋮ Stability and convergence rate of Jungck-type iterations for a pair of strongly demicontractive mappings in Hilbert spaces ⋮ Weak \(w^{2}\)-stability and data dependence of Mann iteration method in Hilbert spaces ⋮ Convergence and Data Dependency of Normal−S Iterative Method for Discontinuous Operators on Banach Space ⋮ Jungck-type implicit iterative algorithms with numerical examples ⋮ Random iterative algorithms and almost sure stability in Banach spaces ⋮ Coincidences of Nonself Operators by a Simpler Algorithm ⋮ A comparative study on iterative algorithms of almost contractions in the context of convergence, stability and data dependency ⋮ Some convergence, stability and data dependency results for a Picard-S iteration method of quasi-strictly contractive operators ⋮ Unnamed Item ⋮ Analytical and numerical aspect of coincidence point problem of quasi-contractive operators ⋮ An iterative method and its application to stable inversion

Cites Work

• Compatible maps and invariant approximations
• Iterative approximation of fixed points
• Data dependence for Ishikawa iteration when dealing with contractive-like operators
• On modified Noor iterations for asymptotically nonexpansive mappings
• Analytical and numerical treatment of Jungck-type iterative schemes
• Data dependence results for multistep and CR iterative schemes in the class of contractive-like operators
• Stability of Jungck-type iterative procedures
• Data dependence results of new multi-step and S-iterative schemes for contractive-like operators
• Fixed Point Iteration for Local Strictly Pseudo-Contractive Mapping
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