Generalized cyclic contractions and coincidence points involving a control function on partial metric spaces
Purpose – In this paper, we use the notion of cyclic representation of a nonempty set with respect to a pair of mappings to obtain coincidence points and common fixed points for a pair of self-mappings satisfying some generalized contraction- type conditions involving a control function in partial m...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Emerald Publishing
2021-07-01
|
| Series: | Arab Journal of Mathematical Sciences |
| Subjects: | |
| Online Access: | https://www.emerald.com/insight/content/doi/10.1108/AJMS-07-2020-0023/full/pdf |
| _version_ | 1797791640349310976 |
|---|---|
| author | Sushanta Kumar Mohanta |
| author_facet | Sushanta Kumar Mohanta |
| author_sort | Sushanta Kumar Mohanta |
| collection | DOAJ |
| description | Purpose – In this paper, we use the notion of cyclic representation of a nonempty set with respect to a pair of mappings to obtain coincidence points and common fixed points for a pair of self-mappings satisfying some generalized contraction- type conditions involving a control function in partial metric spaces. Moreover, we provide some examples to analyze and illustrate our main results. Design/methodology/approach – Theoretical method. Findings – We establish some coincidence points and common fixed point results in partial metric spaces. Originality/value – Results of this study are new and interesting. |
| first_indexed | 2024-03-13T02:21:40Z |
| format | Article |
| id | doaj.art-19cc52b045e148ab9cf88fa8ddba45ad |
| institution | Directory Open Access Journal |
| issn | 1319-5166 2588-9214 |
| language | English |
| last_indexed | 2024-03-13T02:21:40Z |
| publishDate | 2021-07-01 |
| publisher | Emerald Publishing |
| record_format | Article |
| series | Arab Journal of Mathematical Sciences |
| spelling | doaj.art-19cc52b045e148ab9cf88fa8ddba45ad2023-06-30T09:18:56ZengEmerald PublishingArab Journal of Mathematical Sciences1319-51662588-92142021-07-0127217118810.1108/AJMS-07-2020-0023Generalized cyclic contractions and coincidence points involving a control function on partial metric spacesSushanta Kumar Mohanta0Department of Mathematics, West Bengal State University, Kolkata, IndiaPurpose – In this paper, we use the notion of cyclic representation of a nonempty set with respect to a pair of mappings to obtain coincidence points and common fixed points for a pair of self-mappings satisfying some generalized contraction- type conditions involving a control function in partial metric spaces. Moreover, we provide some examples to analyze and illustrate our main results. Design/methodology/approach – Theoretical method. Findings – We establish some coincidence points and common fixed point results in partial metric spaces. Originality/value – Results of this study are new and interesting.https://www.emerald.com/insight/content/doi/10.1108/AJMS-07-2020-0023/full/pdfPartial metricCyclic contraction0-CompletenessCoincidence point |
| spellingShingle | Sushanta Kumar Mohanta Generalized cyclic contractions and coincidence points involving a control function on partial metric spaces Arab Journal of Mathematical Sciences Partial metric Cyclic contraction 0-Completeness Coincidence point |
| title | Generalized cyclic contractions and coincidence points involving a control function on partial metric spaces |
| title_full | Generalized cyclic contractions and coincidence points involving a control function on partial metric spaces |
| title_fullStr | Generalized cyclic contractions and coincidence points involving a control function on partial metric spaces |
| title_full_unstemmed | Generalized cyclic contractions and coincidence points involving a control function on partial metric spaces |
| title_short | Generalized cyclic contractions and coincidence points involving a control function on partial metric spaces |
| title_sort | generalized cyclic contractions and coincidence points involving a control function on partial metric spaces |
| topic | Partial metric Cyclic contraction 0-Completeness Coincidence point |
| url | https://www.emerald.com/insight/content/doi/10.1108/AJMS-07-2020-0023/full/pdf |
| work_keys_str_mv | AT sushantakumarmohanta generalizedcycliccontractionsandcoincidencepointsinvolvingacontrolfunctiononpartialmetricspaces |