Contractions with rational inequalities in the extended \(b\)-metric space

DOI10.1186/S13660-019-2176-6zbMath1499.54150OpenAlexW2969680104MaRDI QIDQ2067988

Andreea Fulga, Erdal Karapınar, Badr Alqahtani, Vladimir Rakočevič

Publication date: 19 January 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-019-2176-6

zbMATH Keywords

fixed pointmetric spacecontractive mapping of type

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Special maps on metric spaces (54E40)

Related Items (8)

On Parametric $$(b, \theta )$$-Metric Space and Some Fixed Point Theorems ⋮ A new extension to the controlled metric type spaces endowed with a graph ⋮ Some variants of Wardowski fixed point theorem ⋮ Controlled b-Branciari metric type spaces and related fixed point theorems with applications ⋮ Computation and convergence of fixed points in graphical spaces with an application to elastic beam deformations ⋮ Common fixed, coupled coincidence and common coupled fixed point results in hyperbolic valued metric spaces ⋮ Double controlled quasi-metric type spaces and some results ⋮ Admissible hybrid \(\mathscr{Z}\)-contractions in extended \(b\)-metric spaces

Cites Work

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• Fixed point theorems for generalized weak contractions satisfying rational expression on a ordered partial metric space
• An extension of Banach contraction principle through rational expression
• Some unique fixed point theorems
• A generalization of \(b\)-metric space and some fixed point theorems
• A discussion on generalized almost contractions via rational expressions in partially ordered metric spaces
• Some unique fixed point theorems for rational contractions in partially ordered metric spaces
• Existence and uniqueness of best proximity points under rational contractivity conditions

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