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

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Adv. Fixed Point Theory 11 (2021), Article ID 1

Fixed point results for Geraghty quasi-contraction type mappings in dislocated metric spaces

Joy Chinyere Umudu, Johnson Olajire Olaleru, Adesanmi Alao Mogbademu

Abstract

Fixed point results for a newly introduced Geraghty quasi-contraction type mapping are proved by employing less restrictions on the mapping in a T-orbitally complete dislocated metric space. Geraghty quasicontraction type mapping generalizes and extends Ciric’s quasi-contraction mapping and other Geraghty quasicontractive type mappings in the literature. An example is given to illustrate results.

Published
10 November 2020
Volume
11 (2021)
License
CC BY 3.0

Copyright © 2020 Joy Chinyere Umudu, Johnson Olajire Olaleru, Adesanmi Alao Mogbademu. 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

J. C. Umudu, J. O. Olaleru, A. A. Mogbademu, Fixed point results for Geraghty quasi-contraction type mappings in dislocated metric spaces, Adv. Fixed Point Theory 11 (2021), 1. https://doi.org/10.28919/afpt/5053

BibTeX
@article{Umudu2021,
  author  = {Umudu, Joy Chinyere and Olaleru, Johnson Olajire and Mogbademu, Adesanmi Alao},
  title   = {Fixed point results for Geraghty quasi-contraction type mappings in dislocated metric spaces},
  journal = {Adv. Fixed Point Theory},
  volume  = {11},
  year    = {2021},
  pages   = {1},
  doi     = {10.28919/afpt/5053}
}