Generalizations of Banach-Kannan-Chatterjea type fixed point theorems on non-normal cone metric spaces with Banach algebras
Abstract
In this paper, we obtain generalizations of Banach contraction principle, Kannan fixed point theorem and Chatterjea fixed point theorem for mappings satisfying Suzuki type contractive conditions on cone metric spaces over Banach algebras without the assumption of normality. The obtained results generalize and improve the corresponding conclusions in the literature.
Copyright © 2018 Meixiang Jin, Yongjie Piao. 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
M. Jin, Y. Piao, Generalizations of Banach-Kannan-Chatterjea type fixed point theorems on non-normal cone metric spaces with Banach algebras, Adv. Fixed Point Theory 8 (2018), 68–82. https://doi.org/10.28919/afpt/3511
BibTeX
@article{Jin2018,
author = {Jin, Meixiang and Piao, Yongjie},
title = {Generalizations of Banach-Kannan-Chatterjea type fixed point theorems on non-normal cone metric spaces with Banach algebras},
journal = {Adv. Fixed Point Theory},
volume = {8},
year = {2018},
pages = {68--82},
doi = {10.28919/afpt/3511}
}