Some Fixed-Circle Results with Different Auxiliary Functions
As the generalization of the fixed-point theory, the fixed-circle problems are interesting and notable geometric constructions. In this paper, we prove that some new necessary conditions are investigated for the existence of a fixed circle of a given self-mapping in G-metric spaces. The well-known B...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/2775733 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850106715403452416 |
|---|---|
| author | Elif Kaplan Nabil Mlaiki Nihal Taş Salma Haque Asma Karoui Souayah |
| author_facet | Elif Kaplan Nabil Mlaiki Nihal Taş Salma Haque Asma Karoui Souayah |
| author_sort | Elif Kaplan |
| collection | DOAJ |
| description | As the generalization of the fixed-point theory, the fixed-circle problems are interesting and notable geometric constructions. In this paper, we prove that some new necessary conditions are investigated for the existence of a fixed circle of a given self-mapping in G-metric spaces. The well-known Braincari and Chatterjea contractive conditions are generalized for proving the uniqueness of obtained theorems. Finally, an application to parametric rectified linear unit activation functions are given to show the importance of studying the fixed-circle problem. |
| format | Article |
| id | doaj-art-4de65463fd174a18bb4fd671d91319fd |
| institution | OA Journals |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-4de65463fd174a18bb4fd671d91319fd2025-08-20T02:38:46ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/2775733Some Fixed-Circle Results with Different Auxiliary FunctionsElif Kaplan0Nabil Mlaiki1Nihal Taş2Salma Haque3Asma Karoui Souayah4Ondokuz Mayis UniversityDepartment of Mathematics and SciencesBalikesir UniversityDepartment of Mathematics and SciencesDepartment of Business AdministrationAs the generalization of the fixed-point theory, the fixed-circle problems are interesting and notable geometric constructions. In this paper, we prove that some new necessary conditions are investigated for the existence of a fixed circle of a given self-mapping in G-metric spaces. The well-known Braincari and Chatterjea contractive conditions are generalized for proving the uniqueness of obtained theorems. Finally, an application to parametric rectified linear unit activation functions are given to show the importance of studying the fixed-circle problem.http://dx.doi.org/10.1155/2022/2775733 |
| spellingShingle | Elif Kaplan Nabil Mlaiki Nihal Taş Salma Haque Asma Karoui Souayah Some Fixed-Circle Results with Different Auxiliary Functions Journal of Function Spaces |
| title | Some Fixed-Circle Results with Different Auxiliary Functions |
| title_full | Some Fixed-Circle Results with Different Auxiliary Functions |
| title_fullStr | Some Fixed-Circle Results with Different Auxiliary Functions |
| title_full_unstemmed | Some Fixed-Circle Results with Different Auxiliary Functions |
| title_short | Some Fixed-Circle Results with Different Auxiliary Functions |
| title_sort | some fixed circle results with different auxiliary functions |
| url | http://dx.doi.org/10.1155/2022/2775733 |
| work_keys_str_mv | AT elifkaplan somefixedcircleresultswithdifferentauxiliaryfunctions AT nabilmlaiki somefixedcircleresultswithdifferentauxiliaryfunctions AT nihaltas somefixedcircleresultswithdifferentauxiliaryfunctions AT salmahaque somefixedcircleresultswithdifferentauxiliaryfunctions AT asmakarouisouayah somefixedcircleresultswithdifferentauxiliaryfunctions |