Some fixed point theorems of contractive mappings in \(\mathcal{P}_b^r\)-cone metric spaces over Banach algebras

DOI10.1155/2021/8447435zbMath1477.54053OpenAlexW3164754646MaRDI QIDQ2038575

Abba Auwalu, Evren Hincal

Publication date: 7 July 2021

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

Full work available at URL: https://doi.org/10.1155/2021/8447435

zbMATH Keywords

fixed pointcontractive mappings\(\mathcal{P}_b^r\)-cone metric space over Banach algebra

Mathematics Subject Classification ID

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

Cites Work

• Fixed point theorems of generalized Lipschitz mappings on cone metric spaces over Banach algebras without assumption of normality
• Cone metric spaces with Banach algebras and fixed point theorems of generalized Lipschitz mappings
• A generalized Banach fixed point theorem
• Rectangular cone b-metric spaces over Banach algebra and contraction principle
• Common fixed point theorems of generalized Lipschitz mappings in cone b-metric spaces over Banach algebras and applications
• Rectangular b-metric space and contraction principles
• The Pb-cone metric spaces over Banach algebra with applications
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