Weak convergence of fixed point iterations in $S$-metric spaces: Weak convergence of fixed point iterations in \(S\)-metric spaces
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| Title: | Weak convergence of fixed point iterations in $S$-metric spaces: Weak convergence of fixed point iterations in \(S\)-metric spaces |
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| Authors: | Siva G, Loganathan S |
| Source: | Journal of Mahani Mathematical Research, Vol 13, Iss 1, Pp 563-574 (2023) |
| Publisher Information: | Mahani Mathematical Research Center c/o Shahid Bahonar University of Kerman, Faculty of Mathematics \& Computer, Kerman, 2023. |
| Publication Year: | 2023 |
| Subject Terms: | Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), semi s-metric space, Fixed-point and coincidence theorems (topological aspects), semi \(S\)-metric space, QA1-939, weak convergence, directed set, Special maps on metric spaces, Mathematics |
| Description: | Summary: 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. |
| Document Type: | Article |
| File Description: | application/xml |
| ISSN: | 2251-7952 |
| DOI: | 10.22103/jmmr.2023.21119.1407 |
| Access URL: | https://doaj.org/article/44140fd193c0426390bb99bc489e3346 |
| Accession Number: | edsair.dedup.wf.002..a4d5d19ed153d5512a57c91db20459a0 |
| Database: | OpenAIRE |
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