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Dislocated cone metric space over Banach algebra and α-quasi contraction mappings of Perov type

By Reny George, R Rajagopalan, Hossam A Nabwey and Stojan Radenović

Abstract

Abstract A dislocated cone metric space over Banach algebra is introduced as a generalisation of a cone metric space over Banach algebra as well as a dislocated metric space. Fixed point theorems for Perov-type α-quasi contraction mapping, Kannan-type contraction as well as Chatterjee-type contraction mappings are proved in a dislocated cone metric space over Banach algebra. Proper examples are provided to establish the validity of our claims

Topics: fixed points, cone metric space, dislocated cone metric space, α-admissible mapping, Applied mathematics. Quantitative methods, T57-57.97, Analysis, QA299.6-433
Publisher: SpringerOpen
Year: 2017
DOI identifier: 10.1186/s13663-017-0619-7
OAI identifier: oai:doaj.org/article:cc08dc2aa68b4209af7ee799d2f3d9df
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