@Article{ATA-33-118,
author = {Xu , S.Cheng , S.Aleksić , S. and Piao , Y.},
title = {New Fixed Point Results of Generalized $g$-Quasi-Contractions in Cone $b$-Metric Spaces Over Banach Algebras},
journal = {Analysis in Theory and Applications},
year = {2017},
volume = {33},
number = {2},
pages = {118--133},
abstract = {<p style="text-align: justify;">In this paper, we introduce the concept of generalized $g$-quasi-contractions in the setting of cone $b$-metric spaces over Banach algebras. By omitting the assumption of normality we establish common fixed point theorems for the generalized $g$-quasi-contractions with the spectral radius $r(\lambda)$ of the $g$-quasi-contractive constant vector $\lambda$ satisfying $r(\lambda) \in [0,\frac{1}{s})$ in the setting of cone $b$-metric spaces over Banach algebras, where the coefficient $s$ satisfies $s\ge 1$. The main results generalize, extend and unify several well-known comparable results in the literature.&nbsp;</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.2017.v33.n2.3},
url = {http://global-sci.org/intro/article_detail/ata/10040.html}
}