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

Archives › Volume 9, Number 3 (2019)

Adv. Fixed Point Theory 9 (2019), 206–213

Orbital completeness and fixed points of (δ, k)−weak contractions

Xavier Udo-utun

PDF (131.9 KB) https://doi.org/10.28919/afpt/1744

Abstract

Extension of Ciric’s (Proc. Amer. Math. Soc. N0. 45 (1974), 267 - 273) asymptotic fixed point theorem for quasi-contractions in T−orbitally complete metric spaces is obtained for the class of (δ, k)−weak contractions studied by Berinde (Carpath. J. Math. 19(1):7-22, 2003; Nonlinear Anal. Forum 9(1): 43-53, 2004). Our results are significant extensions of those of Ciric and Berinde mentioned above and numerous others in literature.

Published
8 May 2019
Volume
9 (2019)
License
CC BY 3.0

Copyright © 2019 Xavier Udo-utun. 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

X. Udo-utun, Orbital completeness and fixed points of (δ, k)−weak contractions, Adv. Fixed Point Theory 9 (2019), 206–213. https://doi.org/10.28919/afpt/1744

BibTeX
@article{Udo-utun2019,
  author  = {Udo-utun, Xavier},
  title   = {Orbital completeness and fixed points of (δ, k)−weak contractions},
  journal = {Adv. Fixed Point Theory},
  volume  = {9},
  year    = {2019},
  pages   = {206--213},
  doi     = {10.28919/afpt/1744}
}