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International Journal of Research and Scientific Innovation (IJRSI)

Fixed Point Theorem in Controlled Metric Spaces

byShyam Sunder Prasad Singh

Published August 28, 2025  •  Vol. 12, Issue 8, pp. 159–165Open Access
DOI: 10.51244/IJRSI.2025.120800014

Abstract

In this paper, we present a new fixed point theorem that generalizes the result of Souayah and Hidri [5 ] within the context of the generalized controlled metric space with three control functions.

Keywords: Caristi Contraction, Controlled Metric Space, Double Controlled Metric Space

JournalInternational Journal of Research and Scientific Innovation (IJRSI)
ISSN2321-2705
Volume / IssueVolume 12, Issue 8
Pages159–165
Publication dateAugust 28, 2025
DOI10.51244/IJRSI.2025.120800014
PublisherRSIS International
LicenseOpen Access

How to cite this article

Shyam Sunder Prasad Singh (2025). Fixed Point Theorem in Controlled Metric Spaces. International Journal of Research and Scientific Innovation (IJRSI), 12(8), 159-165. https://doi.org/10.51244/IJRSI.2025.120800014

BibTeX

@article{Shyam2025,
  title   = {Fixed Point Theorem in Controlled Metric Spaces},
  author  = {Shyam Sunder Prasad Singh},
  journal = {International Journal of Research and Scientific Innovation (IJRSI)},
  volume  = {12},
  number  = {8},
  pages   = {159--165},
  year    = {2025},
  doi     = {10.51244/IJRSI.2025.120800014},
  publisher = {RSIS International}
}