Common fixed point theorems on quasi-cone metric space over a divisible Banach algebra

Common fixed point theorems on quasi-cone metric space over a divisible Banach algebra

Abstract In this manuscript, we investigate the existence and uniqueness of a common fixed point for the self-mappings defined on quasi-cone metric space over a divisible Banach algebra via an auxiliary mapping ϕ.

Bibliographic Details
Main Authors: Andreea Fulga, Hojjat Afshari, Hadi Shojaat
Format: Article
Language:English
Published: SpringerOpen 2021-06-01
Series:Advances in Difference Equations
Subjects:
Common fixed point
ψ-operator
Quasi-cone metric
Quasi-Banach-valued metric space
Online Access:https://doi.org/10.1186/s13662-021-03464-z
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spelling doaj-5711708681d8420fab189fcf2de7d4442021-06-27T11:41:09ZengSpringerOpenAdvances in Difference Equations1687-18472021-06-012021111510.1186/s13662-021-03464-zCommon fixed point theorems on quasi-cone metric space over a divisible Banach algebraAndreea Fulga0Hojjat Afshari1Hadi Shojaat2Department of Mathematics and Computer Sciences, Transilvania University of BrasovDepartment of Mathematics, Basic Science Faculty, University of BonabDepartment of Mathematics, Farhangian UniversityAbstract In this manuscript, we investigate the existence and uniqueness of a common fixed point for the self-mappings defined on quasi-cone metric space over a divisible Banach algebra via an auxiliary mapping ϕ.https://doi.org/10.1186/s13662-021-03464-zCommon fixed pointψ-operatorQuasi-cone metricQuasi-Banach-valued metric space
collection DOAJ
language English
format Article
sources DOAJ
author Andreea Fulga
Hojjat Afshari
Hadi Shojaat
spellingShingle Andreea Fulga
Hojjat Afshari
Hadi Shojaat
Common fixed point theorems on quasi-cone metric space over a divisible Banach algebra
Advances in Difference Equations
Common fixed point
ψ-operator
Quasi-cone metric
Quasi-Banach-valued metric space
author_facet Andreea Fulga
Hojjat Afshari
Hadi Shojaat
author_sort Andreea Fulga
title Common fixed point theorems on quasi-cone metric space over a divisible Banach algebra
title_short Common fixed point theorems on quasi-cone metric space over a divisible Banach algebra
title_full Common fixed point theorems on quasi-cone metric space over a divisible Banach algebra
title_fullStr Common fixed point theorems on quasi-cone metric space over a divisible Banach algebra
title_full_unstemmed Common fixed point theorems on quasi-cone metric space over a divisible Banach algebra
title_sort common fixed point theorems on quasi-cone metric space over a divisible banach algebra
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1847
publishDate 2021-06-01
description Abstract In this manuscript, we investigate the existence and uniqueness of a common fixed point for the self-mappings defined on quasi-cone metric space over a divisible Banach algebra via an auxiliary mapping ϕ.
topic Common fixed point
ψ-operator
Quasi-cone metric
Quasi-Banach-valued metric space
url https://doi.org/10.1186/s13662-021-03464-z
work_keys_str_mv AT andreeafulga commonfixedpointtheoremsonquasiconemetricspaceoveradivisiblebanachalgebra
AT hojjatafshari commonfixedpointtheoremsonquasiconemetricspaceoveradivisiblebanachalgebra
AT hadishojaat commonfixedpointtheoremsonquasiconemetricspaceoveradivisiblebanachalgebra
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