• Weak convergence of fixed poin...

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

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
Document Type:
Academic journal 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

Further Information

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.