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

Reny George; Hossam A. Nabwey; Jelena Vujaković; R. Rajagopalan; Selva Vinayagam

doi:10.1515/math-2019-0086

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

Reny George, Hossam A. Nabwey, Jelena Vujaković, R. Rajagopalan, Selva Vinayagam

Mathematics

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

2 Scopus citations

Abstract

In this paper we introduce dislocated and dislocated quasi version of a cone b-metric space over a Banach algebra as well as weak semi α-admissible and α-identical pair of mappings and prove common fixed point theorems for a pair of α-identical and weak α-admissible mappings in the aforesaid spaces. Our results are supported with suitable examples and an application to a system of m-tupled functional equations.

Original language	English
Pages (from-to)	1065-1081
Number of pages	17
Journal	Open Mathematics
Volume	17
Issue number	1
DOIs	https://doi.org/10.1515/math-2019-0086
State	Published - 25 Sep 2019

Keywords

common fixed points
dislocated cone b-metric space
dislocated quasi cone b-metric space
generalised contraction mappings
weak semi α-admissible pair of mappings

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abstract = "In this paper we introduce dislocated and dislocated quasi version of a cone b-metric space over a Banach algebra as well as weak semi α-admissible and α-identical pair of mappings and prove common fixed point theorems for a pair of α-identical and weak α-admissible mappings in the aforesaid spaces. Our results are supported with suitable examples and an application to a system of m-tupled functional equations.",

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author = "Reny George and Nabwey, \{Hossam A.\} and Jelena Vujakovi{\'c} and R. Rajagopalan and Selva Vinayagam",

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AU - Nabwey, Hossam A.

AU - Vujaković, Jelena

AU - Rajagopalan, R.

AU - Vinayagam, Selva

PY - 2019/9/25

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N2 - In this paper we introduce dislocated and dislocated quasi version of a cone b-metric space over a Banach algebra as well as weak semi α-admissible and α-identical pair of mappings and prove common fixed point theorems for a pair of α-identical and weak α-admissible mappings in the aforesaid spaces. Our results are supported with suitable examples and an application to a system of m-tupled functional equations.

AB - In this paper we introduce dislocated and dislocated quasi version of a cone b-metric space over a Banach algebra as well as weak semi α-admissible and α-identical pair of mappings and prove common fixed point theorems for a pair of α-identical and weak α-admissible mappings in the aforesaid spaces. Our results are supported with suitable examples and an application to a system of m-tupled functional equations.

KW - common fixed points

KW - dislocated cone b-metric space

KW - dislocated quasi cone b-metric space

KW - generalised contraction mappings

KW - weak semi α-admissible pair of mappings

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JO - Open Mathematics

JF - Open Mathematics

IS - 1

ER -

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

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Keywords

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