Convergence theorems for continuous functions on an arbitrary interval

DOI10.1007/s12215-013-0121-yzbMath1295.26004OpenAlexW1989902135MaRDI QIDQ369373

Nattawut Pholasa, Prasit Cholamjiak

Publication date: 24 September 2013

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-013-0121-y

zbMATH Keywords

convergencefixed pointiterative schemereal function

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Iteration of real functions in one variable (26A18)

Related Items

Strong and \(\triangle\)-convergence of Moudafi's iterative algorithm for generalized nonexpansive mappings in convex metric spaces

Cites Work

• Unnamed Item
• On the rate of convergence of Mann, Ishikawa, Noor and SP-iterations for continuous functions on an arbitrary interval
• The necessary and sufficient condition for the convergence of Ishikawa iteration on an arbitrary interval
• Fixed point iterations for real functions
• New approximation schemes for general variational inequalities
• CONVERGENCE OF ISHIKAWA ITERATION WITH ERROR TERMS ON AN ARBITRARY INTERVAL
• Fixed Points by a New Iteration Method
• Mean Value Methods in Iteration