Rectangular cone b-metric spaces over Banach algebra and contraction principle

DOI10.1186/s13663-017-0608-xzbMath1462.54059OpenAlexW2744575606WikidataQ59604524 ScholiaQ59604524MaRDI QIDQ680738

K. P. Reshma, Hossam A. Nabwey, Stojan Radenović, Reny George, Ramaswamy Rajagopalan

Publication date: 29 January 2018

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13663-017-0608-x

zbMATH Keywords

fixed pointscone rectangular b-metric spacerectangular b-metric spacerectangular metric space

Mathematics Subject Classification ID

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

Related Items (3)

Applications and theorem on common fixed point in complex valued b-metric space ⋮ Contraction mapping in hexagonal cone \(b\)-metric spaces over Banach algebras and related fixed point theorems ⋮ Some fixed point theorems of contractive mappings in \(\mathcal{P}_b^r\)-cone metric spaces over Banach algebras

Cites Work

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• 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
• 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
• A sharp generalization on cone b-metric space over Banach algebra

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