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

Reny George; R. Rajagopalan; Hossam A. Nabwey; Stojan Radenović

doi:10.1186/s13663-017-0619-7

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

Mathematics

Ton Duc Thang University

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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.

Original language	English
Article number	24
Journal	Fixed Point Theory and Algorithms for Sciences and Engineering
Volume	2017
Issue number	1
DOIs	https://doi.org/10.1186/s13663-017-0619-7
State	Published - 1 Dec 2017

Keywords

cone metric space
dislocated cone metric space
fixed points
α-admissible mapping

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10.1186/s13663-017-0619-7

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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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PY - 2017/12/1

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N2 - 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.

AB - 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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KW - dislocated cone metric space

KW - fixed points

KW - α-admissible mapping

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

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