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Measures of Noncompactness in the Space of Continuous and Bounded Functions Defined on the Real Half-Axis Read chapter Read first chapter

2017 | OriginalPaper | Chapter

7. The Class of F-Contraction Mappings with a Measure of Noncompactness

Authors : Calogero Vetro, Francesca Vetro

Published in: Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness

Publisher: Springer Singapore

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Abstract

In this chapter we review a class of contraction conditions, which are largely used to obtain interesting generalizations of the Banach fixed-point theorem in various abstract settings. We also present a new fixed-point existence result obtained by considering such a kind of contraction condition and a measure of noncompactness. Moreover, we show the applicability of these results in the theory of functional equations.

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previous chapter Measures of Weak Noncompactness and Fixed Points
next chapter On the Measure of Noncompactness in Banach Spaces and Application to the Theory of Differential and Integral Equations
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Metadata
Title
The Class of F-Contraction Mappings with a Measure of Noncompactness
Authors
Calogero Vetro
Francesca Vetro
Copyright Year
2017
Publisher
Springer Singapore
Book
Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness

Print ISBN: 978-981-10-3721-4

Electronic ISBN: 978-981-10-3722-1

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-981-10-3722-1_7

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