Nonlinear quasicontractions in complete metric spaces

DOI10.1016/j.exmath.2015.03.001zbMath1332.54206OpenAlexW2059577523MaRDI QIDQ900745

Mihály Bessenyei

Publication date: 22 December 2015

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.exmath.2015.03.001

zbMATH Keywords

iterationcontraction principleBanach fixed point theoremĆirić fixed point theoremMatkowski fixed point theorem

Mathematics Subject Classification ID

Complete metric spaces (54E50) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (3)

A common fixed point theorem for nonlinear quasi-contractions on \(b\)-metric spaces with application in integral equations ⋮ Banach's fixed point theorem, Ćirić's and Kannan's are equivalent via redefining the metric ⋮ Hutchinson's theorem in semimetric spaces

Cites Work

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• Iterative approximation of fixed points
• Fixed points for non-self operators and domain invariance theorems
• Nonlinear Contractions on Semimetric Spaces
• Fixed point theorems for singlevalued and multivalued generalized contractions in metric spaces endowed with a graph
• Remarks on fixed point theorems of contractive type
• Remarks on a paper by F. Browder about contraction
• A Generalization of Banach's Contraction Principle
• Fixed Point Theorems for Mappings with a Contractive Iterate at a Point
• On Nonlinear Contractions
• Some Results on Fixed Points--II

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