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Weak convergence of fixed point iterations in $S$-metric spaces: Weak convergence of fixed point iterations in \(S\)-metric spaces

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Bibliographic Details
Title: Weak convergence of fixed point iterations in $S$-metric spaces: Weak convergence of fixed point iterations in \(S\)-metric spaces
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
Description
Abstract: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.
ISSN:22517952
DOI:10.22103/jmmr.2023.21119.1407