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Fixed-Point Results for Generalized α-Admissible Hardy-Rogers’ Contractions in Cone b2-Metric Spaces over Banach’s Algebras with Application
Joint Authors
Islam, Ziaul
Sarwar, Muhammad
de la Sen, Manuel
Source
Advances in Mathematical Physics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-12-08
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
In the current manuscript, the notion of a cone b2-metric space over Banach’s algebra with parameter b≻¯e is introduced.
Furthermore, using α-admissible Hardy-Rogers’ contractive conditions, we have proven fixed-point theorems for self-mappings, which generalize and strengthen many of the conclusions in existing literature.
In order to verify our key result, a nontrivial example is given, and as an application, we proved a theorem that shows the existence of a solution of an infinite system of integral equations.
American Psychological Association (APA)
Islam, Ziaul& Sarwar, Muhammad& de la Sen, Manuel. 2020. Fixed-Point Results for Generalized α-Admissible Hardy-Rogers’ Contractions in Cone b2-Metric Spaces over Banach’s Algebras with Application. Advances in Mathematical Physics،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1127541
Modern Language Association (MLA)
Islam, Ziaul…[et al.]. Fixed-Point Results for Generalized α-Admissible Hardy-Rogers’ Contractions in Cone b2-Metric Spaces over Banach’s Algebras with Application. Advances in Mathematical Physics No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1127541
American Medical Association (AMA)
Islam, Ziaul& Sarwar, Muhammad& de la Sen, Manuel. Fixed-Point Results for Generalized α-Admissible Hardy-Rogers’ Contractions in Cone b2-Metric Spaces over Banach’s Algebras with Application. Advances in Mathematical Physics. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1127541
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1127541