On the convergence of an iteration method for continuous mappings on an arbitrary interval

DOI10.1186/1687-1812-2013-124zbMath1295.26005arXiv1402.6530OpenAlexW2141988710WikidataQ59300414 ScholiaQ59300414MaRDI QIDQ2252663

Isa Yildirim, Nazli Kadioglu

Publication date: 22 July 2014

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.6530

zbMATH Keywords

fixed pointconvergence theoremcontinuous mapping

Mathematics Subject Classification ID

Continuous maps (54C05) Fixed-point theorems (47H10) Iteration of real functions in one variable (26A18)

Related Items (1)

New fixed point iteration and its rate of convergence

Cites Work

• 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
• Comments on two fixed point iteration methods
• New approximation schemes for general variational inequalities
• Convergence criteria of a new three-step iteration with errors for nonexpansive nonself-mappings
• Weak and strong convergence criteria of Noor iterations for asymptotically nonexpansive mappings
• Fixed Points by a New Iteration Method
• Mean Value Methods in Iteration

This page was built for publication: On the convergence of an iteration method for continuous mappings on an arbitrary interval