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Advances in Fixed Point Theory ISSN 1927-6303 (Print)

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Adv. Fixed Point Theory 13 (2023), Article ID 27

Some convergence results for a sequence of Gornicki type contraction mappings

Rekha Panicker, Rahul Shukla, Deepa Vijayasenan

PDF (145.2 KB) https://doi.org/10.28919/afpt/8215

Abstract

The stability of fixed points for a sequence of mappings {Tn} satisfying the conditions introduced by Gornicki is studied in a metric space (X,d). In particular, these mappings are only defined on a subset Xn of the metric space X. In this paper we study the convergence of {Tn} and the convergence of their fixed points {xn}. We also illustrate our results by applying them to an initial value problem for an ordinary differential equation.

Published
21 November 2023
Volume
13 (2023)
License
CC BY 3.0

Copyright © 2023 Rekha Panicker, Rahul Shukla, Deepa Vijayasenan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

R. Panicker, R. Shukla, D. Vijayasenan, Some convergence results for a sequence of Gornicki type contraction mappings, Adv. Fixed Point Theory 13 (2023), 27. https://doi.org/10.28919/afpt/8215

BibTeX
@article{Panicker2023,
  author  = {Panicker, Rekha and Shukla, Rahul and Vijayasenan, Deepa},
  title   = {Some convergence results for a sequence of Gornicki type contraction mappings},
  journal = {Adv. Fixed Point Theory},
  volume  = {13},
  year    = {2023},
  pages   = {27},
  doi     = {10.28919/afpt/8215}
}