Coupled fixed point theorem and t-stability for nonlinear contractive mappings in cone metric spaces over Banach algebras
Abstract
In this paper, we establish the existence of coupled coincidence point and prove coincidence point theorem for nonlinear contractive mappings in cone metric space over Banach algebras. Our results generalize some known results in cone metric space. Moreover, we verify the T-stability of iteration sequence.
Copyright © 2018 Xiaoye Yang, Qing Yuan. 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
X. Yang, Q. Yuan, Coupled fixed point theorem and t-stability for nonlinear contractive mappings in cone metric spaces over Banach algebras, J. Math. Comput. Sci. 8 (2018), 506–522. https://doi.org/10.28919/jmcs/3035
BibTeX
@article{Yang2018,
author = {Yang, Xiaoye and Yuan, Qing},
title = {Coupled fixed point theorem and t-stability for nonlinear contractive mappings in cone metric spaces over Banach algebras},
journal = {J. Math. Comput. Sci.},
volume = {8},
year = {2018},
pages = {506--522},
doi = {10.28919/jmcs/3035}
}