Weak convergence of fixed point iterations in $S$-metric spaces

Document Type : Research Paper

Authors

1 Department of Mathematics, Alagappa University, Karaikudi-630 003, India

2 PG and Research Department of Mathematics, Sethupathy Government Arts College, Ramanathapuram-623502, India

Abstract

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.

Keywords

Main Subjects

References

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Journal of Mahani Mathematical Research
Volume 13, Issue 1 - Serial Number 26
November 2023
Pages 563-574

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History

  • Receive Date: 24 February 2023
  • Revise Date: 05 August 2023
  • Accept Date: 27 October 2023

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