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 (Vol.17, No. 2)Publication Date: 2020-06-01
Authors : Hasan Hosseinzadeh;
Page : 37-53
Keywords : Fixed points; Coupled fixed point; Coupled coincidence fixed Point; Generalized metric;
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.
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Last modified: 2020-06-16 17:03:39