@article {
author = {Hosseinzadeh, Hasan},
title = {Some Fixed Point Theorems in Generalized Metric Spaces Endowed with Vector-valued Metrics and Application in Linear and Nonlinear Matrix Equations},
journal = {Sahand Communications in Mathematical Analysis},
volume = {17},
number = {2},
pages = {37-53},
year = {2020},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2018.86797.440},
abstract = {Let $\mathcal{X}$ be a partially ordered set and $d$ be a generalized metric on $\mathcal{X}$. We obtain some results in coupled and coupled coincidence of $g$-monotone functions on $\mathcal{X}$, where $g$ is a function from $\mathcal{X}$ into itself. Moreover, we show that a nonexpansive mapping on a partially ordered Hilbert space has a fixed point lying in the unit ball of the Hilbert space. Some applications for linear and nonlinear matrix equations are given.},
keywords = {Fixed points,Coupled fixed point,Coupled coincidence fixed Point,Generalized metric},
url = {https://scma.maragheh.ac.ir/article_37410.html},
eprint = {https://scma.maragheh.ac.ir/article_37410_66eea9cbee3a9a5ccfbce5ff9cbcd2b5.pdf}
}