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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:

Authors : ;

Page : 37-53

Keywords : Fixed points; Coupled fixed point; Coupled coincidence fixed Point; Generalized metric;

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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.

Last modified: 2020-06-16 17:03:39