A sufficient and necessary condition for the convergence of the sequence of successive approximations to a unique fixed point. II

DOI10.1186/S13663-015-0302-9zbMath1312.54032OpenAlexW2119921655WikidataQ59404257 ScholiaQ59404257MaRDI QIDQ2343423

Tomonari Suzuki, Badriah A. S. Alamri

Publication date: 5 May 2015

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

Full work available at URL: https://doi.org/10.1186/s13663-015-0302-9

zbMATH Keywords

contractionfixed pointBanach contraction principlesuccessive approximationBoyd-Wong contraction

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (4)

The weakest contractive conditions for Edelstein's mappings to have a fixed point in complete metric spaces ⋮ A generalization of Hegedüs-Szilágyi's fixed point theorem in complete metric spaces ⋮ Discussion of several contractions by Jachymski's approach ⋮ A generalization of the Banach contraction principle in noncomplete metric spaces

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• A sufficient and necessary condition for the convergence of the sequence of successive approximations to a unique fixed point
• Fixed point theorems for contractive mappings in metric spaces
• Equivalent Cauchy sequences and contractive fixed points in metric spaces
• Equivalence of some contractivity properties over metrical structures
• On Nonlinear Contractions
• Generalized distance and existence theorems in complete metric spaces

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