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Journal of Applied Mathematics and Computing
Erschienen in: Journal of Applied Mathematics and Computing 1-2/2015

01.10.2015 | Original Research

Sadovskii-Krasnosel’skii type fixed point theorems in Banach spaces with application to evolution equations

verfasst von: Khalil Ezzinbi, Mohamed-Aziz Taoudi

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2015

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Abstract

In this work, we introduce the concept of a convex-power condensing mapping \(T\) with respect to another mapping \(S\) as a generalization of condensing and convex-power condensing mappings. Some fixed point theorems for the sum \(T+S\) with \(S\) is a strict contraction and \(T\) is convex-power condensing with respect to \(S\) are established. The cases where \(S\) is nonexpansive or expansive are also considered. Our fixed point results encompass the well known Sadovskii’s fixed point theorem and a number of its generalizations. To show the usefulness and the applicability of our fixed point results we investigate the existence of mild solutions to a broad class of neutral differential equations.
Vorheriger Artikel Pseudo almost periodic solutions for a class of nonlinear Duffing system with a deviating argument
Nächster Artikel Existence results for a fractional boundary value problem with fractional Lidstone conditions

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Metadaten
Titel
Sadovskii-Krasnosel’skii type fixed point theorems in Banach spaces with application to evolution equations
verfasst von
Khalil Ezzinbi
Mohamed-Aziz Taoudi
Publikationsdatum
01.10.2015
Verlag
Springer Berlin Heidelberg
Erschienen in
Journal of Applied Mathematics and Computing / Ausgabe 1-2/2015
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI
https://doi.org/10.1007/s12190-014-0836-8

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