Weak contractions, common fixed points, and invariant approximations

DOI10.1155/2009/390634zbMath1183.47049OpenAlexW2137227374WikidataQ59248934 ScholiaQ59248934MaRDI QIDQ1035496

Yeol Je Cho, Nawab Hussain

Publication date: 3 November 2009

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

Full work available at URL: https://eudml.org/doc/117797

zbMATH Keywords

fixed pointOpial's conditionbest approximationweak contraction\((\theta, L)\)-weak contraction

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (10)

On generalized weakly directional contractions and approximate fixed point property with applications ⋮ Common fixed points for \(\mathcal {JH}\)-operators and occasionally weakly biased pairs under relaxed conditions ⋮ On approximate coincidence point properties and their applications to fixed point theory ⋮ Common fixed points of weakly contractive and strongly expansive mappings in topological spaces ⋮ Approximate endpoints for set-valued contractions in metric spaces ⋮ On modified \((\alpha - \eta)\)-contractive mappings ⋮ Invariant approximation results via common fixed point theorems for generalized weak contraction maps ⋮ Banach operator pair and common fixed points for nonexpansive maps ⋮ Some common fixed-point and invariant approximation results with generalized almost contractions ⋮ Properties of convergence of a class of iterative processes generated by sequences of self-mappings with applications to switched dynamic systems

Cites Work

• Contractive type non-self mappings on metric spaces of hyperbolic type
• A Generalization of Banach's Contraction Principle
• An Introduction to Metric Spaces and Fixed Point Theory
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