oaioai:doaj.org/article:cc08dc2aa68b4209af7ee799d2f3d9df

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

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Publication date
1 December 2017
Publisher
'Springer Science and Business Media LLC'
Doi

    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

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