TY - JOUR
ID - 37410
TI - Some Fixed Point Theorems in Generalized Metric Spaces Endowed with Vector-valued Metrics and Application in Linear and Nonlinear Matrix Equations
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Hosseinzadeh, Hasan
AD - Department of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran.
Y1 - 2020
PY - 2020
VL - 17
IS - 2
SP - 37
EP - 53
KW - Fixed points
KW - Coupled fixed point
KW - Coupled coincidence fixed Point
KW - Generalized metric
DO - 10.22130/scma.2018.86797.440
N2 - 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.
UR - https://scma.maragheh.ac.ir/article_37410.html
L1 - https://scma.maragheh.ac.ir/article_37410_66eea9cbee3a9a5ccfbce5ff9cbcd2b5.pdf
ER -