Fixed-Point Results for Generalized α-Admissible Hardy-Rogers’ Contractions in Cone b2-Metric Spaces over Banach’s Algebras with Application
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 conclusion...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
|
| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2020/8826060 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832546808655511552 |
|---|---|
| author | Ziaul Islam Muhammad Sarwar Manuel de la Sen |
| author_facet | Ziaul Islam Muhammad Sarwar Manuel de la Sen |
| author_sort | Ziaul Islam |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-668694c3db8046a7bd524bbb62472aa7 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-668694c3db8046a7bd524bbb62472aa72025-02-03T06:47:00ZengWileyAdvances in Mathematical Physics1687-91201687-91392020-01-01202010.1155/2020/88260608826060Fixed-Point Results for Generalized α-Admissible Hardy-Rogers’ Contractions in Cone b2-Metric Spaces over Banach’s Algebras with ApplicationZiaul Islam0Muhammad Sarwar1Manuel de la Sen2Department of Mathematics, University of Malakand, Chakdara Dir(L), PakistanDepartment of Mathematics, University of Malakand, Chakdara Dir(L), PakistanInstitute of Research and Development of Processes, University of the Basque Country, Leioa (Bizkaia), 48940 Leioa, SpainIn 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.http://dx.doi.org/10.1155/2020/8826060 |
| spellingShingle | Ziaul Islam Muhammad Sarwar Manuel de la Sen 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 |
| title | Fixed-Point Results for Generalized α-Admissible Hardy-Rogers’ Contractions in Cone b2-Metric Spaces over Banach’s Algebras with Application |
| title_full | Fixed-Point Results for Generalized α-Admissible Hardy-Rogers’ Contractions in Cone b2-Metric Spaces over Banach’s Algebras with Application |
| title_fullStr | Fixed-Point Results for Generalized α-Admissible Hardy-Rogers’ Contractions in Cone b2-Metric Spaces over Banach’s Algebras with Application |
| title_full_unstemmed | Fixed-Point Results for Generalized α-Admissible Hardy-Rogers’ Contractions in Cone b2-Metric Spaces over Banach’s Algebras with Application |
| title_short | Fixed-Point Results for Generalized α-Admissible Hardy-Rogers’ Contractions in Cone b2-Metric Spaces over Banach’s Algebras with Application |
| title_sort | fixed point results for generalized α admissible hardy rogers contractions in cone b2 metric spaces over banach s algebras with application |
| url | http://dx.doi.org/10.1155/2020/8826060 |
| work_keys_str_mv | AT ziaulislam fixedpointresultsforgeneralizedaadmissiblehardyrogerscontractionsinconeb2metricspacesoverbanachsalgebraswithapplication AT muhammadsarwar fixedpointresultsforgeneralizedaadmissiblehardyrogerscontractionsinconeb2metricspacesoverbanachsalgebraswithapplication AT manueldelasen fixedpointresultsforgeneralizedaadmissiblehardyrogerscontractionsinconeb2metricspacesoverbanachsalgebraswithapplication |