New insights on a pair of quasi-contractive operators in Banach spaces: results on Jungck type iteration algorithms and proposed open problems

DOI10.1016/j.matcom.2023.08.026zbMath1529.47116MaRDI QIDQ6089632

Faik Gürsoy, Emirhan Hacıoğlu, Ayşegül Keten Çopur

Publication date: 13 November 2023

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

zbMATH Keywords

stabilitystrong convergencecoincidence pointdata dependencyJungck type algorithmquasi contractive operator

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Lists of open problems (00A27)

Cites Work

• On rate of convergence of Jungck-type iterative schemes
• Iterative approximation of fixed points
• Some combined relations between contractive mappings, Kannan mappings, reasonable expansive mappings, and \(T\)-stability
• Iterative approximation to a coincidence point of two mappings
• Analytical and numerical treatment of Jungck-type iterative schemes
• Stability of Jungck-type iterative procedures
• Picard iteration converges faster than Mann iteration for a class of quasi-contractive operators
• A convergence theorem of the sequence of Ishikawa iterates for quasi- contractive mappings
• Stability and convergence rate of Jungck-type iterations for a pair of strongly demicontractive mappings in Hilbert spaces
• Existence and Ulam-Hyers stability results for coincidence problems
• Jungck-Khan iterative scheme and higher convergence rate
• Coincidence problems under contractive type conditions
• Commuting Mappings and Fixed Points
• Coincidences of Nonself Operators by a Simpler Algorithm
• A Coincidence Theorem
• Produits tensoriels topologiques et espaces nucléaires
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