On generalization of Petryshyn's fixed point theorem and its application to the product of n-nonlinear integral equations

On generalization of Petryshyn's fixed point theorem and its application to the product of n-nonlinear integral equations

Regarding the Hausdorff measure of noncompactness, we provide and demonstrate a generalization of Petryshyn's fixed point theorem in Banach algebras. Comparing this theorem to Schauder and Darbo's fixed point theorems, we can skip demonstrating closed, convex and compactness properties of...

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Bibliographic Details
Main Authors: Ateq Alsaadi, Manochehr Kazemi, Mohamed M. A. Metwali
Format: Article
Language:English
Published: AIMS Press 2023-11-01
Series:AIMS Mathematics
Subjects:
petryshyn's fixed point theorem (f.p.t.)
measures of noncompactness (m.n.c.)
product of $ n $-nonlinear integral equations
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20231562?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.20231562?viewType=HTML

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