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Dislocated cone metric space over Banach algebra and α-quasi contraction mappings of Perov type
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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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George, R., Rajagopalan, R., Nabwey, H., Radenović, S.
(2017). Dislocated cone metric space over Banach algebra and α-quasi contraction mappings of Perov type.
https://doi.org/10.1186/s13663-017-0619-7
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