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

Archives › Volume 9, Number 4 (2019)

Adv. Fixed Point Theory 9 (2019), 300–309

Affine localization for fixed points of Lipschitz quotient operators

Xavier Udo-utun

PDF (152.9 KB) https://doi.org/10.28919/afpt/1805

Abstract

We modify and apply new property obtained recently in (Udo-utun, Fixed Point Theory and Applications 2014, 2014:65) and results in (Berinde, Carpath. J. Math. 19(1):7-22, 2003; Nonlinear Anal. Forum 9(1):43- 53, 2004) on (δ, k)−weak contractions to obtain asymptotic fixed point theorems for bi-Lipschitz mappings and Lipschitz quotient mappings in Banach spaces. Our results complement and improve several fixed point theorems for Lipschitzian mappings.

Published
10 June 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, Affine localization for fixed points of Lipschitz quotient operators, Adv. Fixed Point Theory 9 (2019), 300–309. https://doi.org/10.28919/afpt/1805

BibTeX
@article{Udo-utun2019,
  author  = {Udo-utun, Xavier},
  title   = {Affine localization for fixed points of Lipschitz quotient operators},
  journal = {Adv. Fixed Point Theory},
  volume  = {9},
  year    = {2019},
  pages   = {300--309},
  doi     = {10.28919/afpt/1805}
}