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Erschienen in:
Banach Contraction Principle and Applications Kapitel lesen Erstes Kapitel lesen

2018 | OriginalPaper | Buchkapitel

2. On Ran–Reurings Fixed Point Theorem

verfasst von : Praveen Agarwal, Mohamed Jleli, Bessem Samet

Erschienen in: Fixed Point Theory in Metric Spaces

Verlag: Springer Singapore

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Abstract

In order to study the existence of solutions to a certain class of nonlinear matrix equations, Ran and Reurings [38] established an extension of Banach contraction principle to metric spaces equipped with a partial order. In this chapter, we present another proof of Ran–Reurings fixed point theorem using Banach contraction principle. Next, we present some applications of this result to the solvability of some classes of matrix equations.

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Vorheriges Kapitel Banach Contraction Principle and Applications
Nächstes Kapitel The Class of -Contractions and Related Fixed Point Theorems
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Metadaten
Titel
On Ran–Reurings Fixed Point Theorem
verfasst von
Praveen Agarwal
Mohamed Jleli
Bessem Samet
Copyright-Jahr
2018
Verlag
Springer Singapore
Buch
Fixed Point Theory in Metric Spaces

Print ISBN: 978-981-13-2912-8

Electronic ISBN: 978-981-13-2913-5

Copyright-Jahr: 2018

DOI
https://doi.org/10.1007/978-981-13-2913-5_2

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