Approximating fixed points for continuous functions on an arbitrary interval

DOI10.1186/1029-242X-2013-214zbMath1364.47019WikidataQ59292639 ScholiaQ59292639MaRDI QIDQ394594

Nattawut Pholasa, Prasit Cholamjiak

Publication date: 27 January 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

iterationfixed pointcontinuous functionconvergence theorem

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Iteration of real functions in one variable (26A18)

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
• New approximation schemes for general variational inequalities
• CONVERGENCE OF ISHIKAWA ITERATION WITH ERROR TERMS ON AN ARBITRARY INTERVAL

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