%0 Journal Article
%T Some Fixed Point Theorems in Generalized Metric Spaces Endowed with Vector-valued Metrics and Application in Linear and Nonlinear Matrix Equations
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Hosseinzadeh, Hasan
%D 2020
%\ 06/01/2020
%V 17
%N 2
%P 37-53
%! Some Fixed Point Theorems in Generalized Metric Spaces Endowed with Vector-valued Metrics and Application in Linear and Nonlinear Matrix Equations
%K Fixed points
%K Coupled fixed point
%K Coupled coincidence fixed Point
%K Generalized metric
%R 10.22130/scma.2018.86797.440
%X 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.
%U https://scma.maragheh.ac.ir/article_37410_66eea9cbee3a9a5ccfbce5ff9cbcd2b5.pdf