Dislocated cone metric space over Banach algebra and \(\alpha\)-quasi contraction mappings of Perov type

DOI10.1186/s13663-017-0619-7zbMath1462.54061OpenAlexW2767784888WikidataQ59604710 ScholiaQ59604710MaRDI QIDQ680753

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/s13663-017-0619-7

zbMATH Keywords

fixed pointscone metric space\(\alpha\)-admissible mappingdislocated cone metric space

Mathematics Subject Classification ID

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

Related Items

Unnamed Item ⋮ Dislocated quasi cone b-metric space over Banach algebra and contraction principles with application to functional equations

Cites Work

• Quasi-contraction of Perov type
• Cone metric spaces with Banach algebras and fixed point theorems of generalized Lipschitz mappings
• Fixed point theorems for \(\alpha\)-\(\psi\)-contractive type mappings
• Fixed point theorems of quasicontractions on cone metric spaces with Banach algebras
• Some new fixed point theorems for \(\alpha\)-Geraghty contraction type maps in metric spaces
• Common fixed point theorems of generalized Lipschitz mappings in cone b-metric spaces over Banach algebras and applications
• Cyclic contractions and fixed points in dislocated metric spaces
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