Weak convergence of fixed point iterations in $S$-metric spaces
This paper extends the notion of weak convergence in metric spaces to the case of S-metric spaces. Moreover, some results on the weak convergence of fixed point iterations of Banach's, Kannan's, Chatterjee's, Reich's, Hardy and Roger's types of contractions on S-metric space...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Shahid Bahonar University of Kerman
2023-11-01
|
| Series: | Journal of Mahani Mathematical Research |
| Subjects: | |
| Online Access: | https://jmmrc.uk.ac.ir/article_3951_63307d5ae45145adfcee0f92f5c02c9d.pdf |
| _version_ | 1827347329942814720 |
|---|---|
| author | Siva G Loganathan S |
| author_facet | Siva G Loganathan S |
| author_sort | Siva G |
| collection | DOAJ |
| description | This paper extends the notion of weak convergence in metric spaces to the case of S-metric spaces. Moreover, some results on the weak convergence of fixed point iterations of Banach's, Kannan's, Chatterjee's, Reich's, Hardy and Roger's types of contractions on S-metric spaces are obtained. In addition, an example is presented to demonstrate our primary result. |
| first_indexed | 2024-03-07T23:48:01Z |
| format | Article |
| id | doaj.art-44140fd193c0426390bb99bc489e3346 |
| institution | Directory Open Access Journal |
| issn | 2251-7952 2645-4505 |
| language | English |
| last_indexed | 2024-03-07T23:48:01Z |
| publishDate | 2023-11-01 |
| publisher | Shahid Bahonar University of Kerman |
| record_format | Article |
| series | Journal of Mahani Mathematical Research |
| spelling | doaj.art-44140fd193c0426390bb99bc489e33462024-02-19T09:29:21ZengShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-79522645-45052023-11-0113156357410.22103/jmmr.2023.21119.14073951Weak convergence of fixed point iterations in $S$-metric spacesSiva G0Loganathan S1Department of Mathematics, Alagappa University, Karaikudi-630 003, IndiaPG and Research Department of Mathematics, Sethupathy Government Arts College, Ramanathapuram-623502, IndiaThis paper extends the notion of weak convergence in metric spaces to the case of S-metric spaces. Moreover, some results on the weak convergence of fixed point iterations of Banach's, Kannan's, Chatterjee's, Reich's, Hardy and Roger's types of contractions on S-metric spaces are obtained. In addition, an example is presented to demonstrate our primary result.https://jmmrc.uk.ac.ir/article_3951_63307d5ae45145adfcee0f92f5c02c9d.pdfweak convergencesemi s-metric spacedirected set |
| spellingShingle | Siva G Loganathan S Weak convergence of fixed point iterations in $S$-metric spaces Journal of Mahani Mathematical Research weak convergence semi s-metric space directed set |
| title | Weak convergence of fixed point iterations in $S$-metric spaces |
| title_full | Weak convergence of fixed point iterations in $S$-metric spaces |
| title_fullStr | Weak convergence of fixed point iterations in $S$-metric spaces |
| title_full_unstemmed | Weak convergence of fixed point iterations in $S$-metric spaces |
| title_short | Weak convergence of fixed point iterations in $S$-metric spaces |
| title_sort | weak convergence of fixed point iterations in s metric spaces |
| topic | weak convergence semi s-metric space directed set |
| url | https://jmmrc.uk.ac.ir/article_3951_63307d5ae45145adfcee0f92f5c02c9d.pdf |
| work_keys_str_mv | AT sivag weakconvergenceoffixedpointiterationsinsmetricspaces AT loganathans weakconvergenceoffixedpointiterationsinsmetricspaces |