Modified semi-linear uniform spaces and new types of contractions
Abstract
In 2009 Tallafha, A. and Khalil, R. defined a new type of uniform space namely, semi-linear uniform space [8]. Later Tallafha, A. in [9], [10] and [11], Alhihi, S. in [1] and Tallafha, A. and Alhihi, S. in [12], gave more properties of semi-linear uniform spaces. Also Lipschitz condition and contraction mapping on semi-linear uniform spaces are defined, which enables one to study fixed point for such functions.
In this article we shall define a modified semi-linear uniform space and a new type of contractions on semilinear uniform spaces, finally we ask the following natural question. If f is a contraction from a complete modified semi-linear uniform space (X,Γ) to itself, is f has a unique fixed point.
- Published
- 14 May 2019
- Volume
- 2019 (2019)
- License
- CC BY 3.0
Copyright © 2019 Suad Alhihi, Amani Rawashdeh, Abdalla TAllafha. 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
S. Alhihi, A. Rawashdeh, A. TAllafha, Modified semi-linear uniform spaces and new types of contractions, J. Semigroup Theory Appl. 2019 (2019), 4. https://doi.org/10.28919/jsta/3988
BibTeX
@article{Alhihi2019,
author = {Alhihi, Suad and Rawashdeh, Amani and TAllafha, Abdalla},
title = {Modified semi-linear uniform spaces and new types of contractions},
journal = {J. Semigroup Theory Appl.},
volume = {2019},
year = {2019},
pages = {4},
doi = {10.28919/jsta/3988}
}