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

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Adv. Fixed Point Theory 16 (2026), Article ID 3

A fixed point theorem for (F,Φ)-weak contraction on complete metric space

Ph. Raju Singh, H. Manglem Singh

Abstract

By introducing the notion of (F,φ) - weak contraction, we establish a fixed point result using this (F,φ)-weak contraction. Our result generalize and extend some well known results in the literature.

Published
2 February 2026
Volume
16 (2026)
License
CC BY 3.0

Copyright © 2026 Ph. Raju Singh, H. Manglem Singh. 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

P. R. Singh, H. M. Singh, A fixed point theorem for (F,Φ)-weak contraction on complete metric space, Adv. Fixed Point Theory 16 (2026), 3. https://doi.org/10.28919/afpt/9702

BibTeX
@article{Singh2026,
  author  = {Singh, Ph. Raju and Singh, H. Manglem},
  title   = {A fixed point theorem for (F,Φ)-weak contraction on complete metric space},
  journal = {Adv. Fixed Point Theory},
  volume  = {16},
  year    = {2026},
  pages   = {3},
  doi     = {10.28919/afpt/9702}
}