Affine localization for fixed points of Lipschitz quotient operators

Xavier Udo-utun
DOI 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.
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How to Cite this Article

Xavier 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

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.