Unique common fixed points for two generalized expansive mappings on non-normal cone metric spaces with Banach algebras
Abstract
By using some elementary results concerning cone metric spaces over Banach algebras and the related ones about c-sequence on cone metric spaces, some new coincidence point and common fixed point theorems for two generalized expansive mappings were discussed and obtained on cone metric spaces over Banach algebras without the assumption of normality and some unique fixed point theorems were given. Also, One of the main results is supported with a relevant example.
Copyright © 2018 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
Y. Piao, Unique common fixed points for two generalized expansive mappings on non-normal cone metric spaces with Banach algebras, Adv. Fixed Point Theory 8 (2018), 367–383. https://doi.org/10.28919/afpt/3780
BibTeX
@article{Piao2018,
author = {Piao, Yongjie},
title = {Unique common fixed points for two generalized expansive mappings on non-normal cone metric spaces with Banach algebras},
journal = {Adv. Fixed Point Theory},
volume = {8},
year = {2018},
pages = {367--383},
doi = {10.28919/afpt/3780}
}