Some Fixed Point Theorems in Generalized Metric Spaces Endowed with Vector-valued Metrics and Application in Linear and Nonlinear Matrix Equations

Author(s):

Hasan Hosseinzadeh *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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

Language:
English
Published:
Sahand Communications in Mathematical Analysis, Volume:17 Issue: 2, Spring 2020
Pages:
37 to 53
https://magiran.com/p2147531  
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