Fixed point results of generalized Reich contraction for α-admissible mappings on generalized c-distance in cone b-metric spaces over Banach algebra
Abstract
In this work, we introduce the nations of generalized Banach type contraction, generalized Kannan type contraction and generalized Reich type contraction for α-admissible mappings on generalized c-distance in cone b-metric spaces over Banach algebra. Then, we study the Reich fixed point results, Banach fixed point results and Kannan fixed point results for these type of mappings on generalized c-distance in such spaces. The results obtained extend and generalize several well-known results in literature. We present an example to support our work.
Copyright © 2021 Sahar M. Abusalim. 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. M. Abusalim, Fixed point results of generalized Reich contraction for α-admissible mappings on generalized c-distance in cone b-metric spaces over Banach algebra, J. Math. Comput. Sci. 11 (2021), 5760–5779. https://doi.org/10.28919/jmcs/5808
BibTeX
@article{Abusalim2021,
author = {Abusalim, Sahar M.},
title = {Fixed point results of generalized Reich contraction for α-admissible mappings on generalized c-distance in cone b-metric spaces over Banach algebra},
journal = {J. Math. Comput. Sci.},
volume = {11},
year = {2021},
pages = {5760--5779},
doi = {10.28919/jmcs/5808}
}