A tripled fixed point technique for solving a tripled-system of integral equations and Markov process in CCbMS
Abstract We prove the existence of tripled fixed points (TFPs) of a new generalized nonlinear contraction mapping in complete cone b-metric spaces (CCbMSs). Also, we present some exciting consequences as corollaries and three nontrivial examples. Finally, we find a solution for a tripled-system of i...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2020-10-01
|
| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-020-03023-y |
| _version_ | 1818791957443379200 |
|---|---|
| author | Hasanen A. Hammad Manuel De La Sen |
| author_facet | Hasanen A. Hammad Manuel De La Sen |
| author_sort | Hasanen A. Hammad |
| collection | DOAJ |
| description | Abstract We prove the existence of tripled fixed points (TFPs) of a new generalized nonlinear contraction mapping in complete cone b-metric spaces (CCbMSs). Also, we present some exciting consequences as corollaries and three nontrivial examples. Finally, we find a solution for a tripled-system of integral equations (TSIE) and discussed a unique stationary distribution for the Markov process (SDMP). |
| first_indexed | 2024-12-18T15:19:36Z |
| format | Article |
| id | doaj.art-b720343e010747408161932c36e4d084 |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-18T15:19:36Z |
| publishDate | 2020-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-b720343e010747408161932c36e4d0842022-12-21T21:03:25ZengSpringerOpenAdvances in Difference Equations1687-18472020-10-012020111910.1186/s13662-020-03023-yA tripled fixed point technique for solving a tripled-system of integral equations and Markov process in CCbMSHasanen A. Hammad0Manuel De La Sen1Department of Mathematics, Faculty of Science, Sohag UniversityInstitute of Research and Development of Processes, University of the Basque CountryAbstract We prove the existence of tripled fixed points (TFPs) of a new generalized nonlinear contraction mapping in complete cone b-metric spaces (CCbMSs). Also, we present some exciting consequences as corollaries and three nontrivial examples. Finally, we find a solution for a tripled-system of integral equations (TSIE) and discussed a unique stationary distribution for the Markov process (SDMP).http://link.springer.com/article/10.1186/s13662-020-03023-yTripled fixed pointCone b-metric spacesTripled system of integral equationsMarkov process |
| spellingShingle | Hasanen A. Hammad Manuel De La Sen A tripled fixed point technique for solving a tripled-system of integral equations and Markov process in CCbMS Advances in Difference Equations Tripled fixed point Cone b-metric spaces Tripled system of integral equations Markov process |
| title | A tripled fixed point technique for solving a tripled-system of integral equations and Markov process in CCbMS |
| title_full | A tripled fixed point technique for solving a tripled-system of integral equations and Markov process in CCbMS |
| title_fullStr | A tripled fixed point technique for solving a tripled-system of integral equations and Markov process in CCbMS |
| title_full_unstemmed | A tripled fixed point technique for solving a tripled-system of integral equations and Markov process in CCbMS |
| title_short | A tripled fixed point technique for solving a tripled-system of integral equations and Markov process in CCbMS |
| title_sort | tripled fixed point technique for solving a tripled system of integral equations and markov process in ccbms |
| topic | Tripled fixed point Cone b-metric spaces Tripled system of integral equations Markov process |
| url | http://link.springer.com/article/10.1186/s13662-020-03023-y |
| work_keys_str_mv | AT hasanenahammad atripledfixedpointtechniqueforsolvingatripledsystemofintegralequationsandmarkovprocessinccbms AT manueldelasen atripledfixedpointtechniqueforsolvingatripledsystemofintegralequationsandmarkovprocessinccbms AT hasanenahammad tripledfixedpointtechniqueforsolvingatripledsystemofintegralequationsandmarkovprocessinccbms AT manueldelasen tripledfixedpointtechniqueforsolvingatripledsystemofintegralequationsandmarkovprocessinccbms |