| Issue |
ITM Web Conf.
Volume 22, 2018
The Third International Conference on Computational Mathematics and Engineering Sciences (CMES2018)
|
|
|---|---|---|
| Article Number | 01003 | |
| Number of page(s) | 6 | |
| DOI | https://doi.org/10.1051/itmconf/20182201003 | |
| Published online | 17 October 2018 | |
Pentagonal Cone b-metric Spaces over Banach Algebras and Fixed Point Theorem of Generalized Lipschitz Mapping
Department of Mathematics, Near East University, Nicosia, via Mersin 10, Turkey
* e-mail: abba.auwalu@neu.edu.tr,abbaauwalu@yahoo.com
In this paper, we introduce the concept of pentagonal cone b-metric space over Banach algebras as a generalization of cone metric space over Banach algebras and many of its generalizations. Furthermore, we prove Banach fixed point theorem in such a space. Our result unify, complement and/or generalized some recent results in the papers [1–7], and many others. We provide some examples to elucidate the validity and superiority of our results.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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