Graphical contractions and common fixed points in \(b\)-metric spaces

DOI10.1007/s40065-022-00396-8zbMath1522.54063MaRDI QIDQ6133362

Gabriela Petrusel, Adrian Petruşel

Publication date: 24 July 2023

Published in: Arabian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

fixed point theoremcomplete \(b\)-metric spacegraphical contraction

Mathematics Subject Classification ID

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

Cites Work

• A study of a general system of operator equations in \(b\)-metric spaces via the vector approach in fixed point theory
• New fixed point theorems for set-valued contractions in \(b\)-metric spaces
• A note on the paper ``Contraction mappings in \(b\)-metric spaces by Czerwik
• Contributions to the fixed point theory of diagonal operators
• Existence and stability results for a system of operator equations via fixed point theory for nonself orbital contractions
• Basic inequality on a \(b\)-metric space and its applications
• Fixed Point Theory in Distance Spaces
• Graphic Contraction Principle and Applications
• The Relevance of a Metric Condition on a Pair of Operators in Common Fixed Point Theory
• "The early developments in fixed point theory on b-metric spaces: a brief survey and some important related aspects"
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