Some generalizations of Darbo’s theorem and applications to fractional integral equations

Abstract

In this paper, some generalizations of Darbo's fixed point theorem are presented. An existence result for a class of fractional integral equations is given as an application of the obtained results. MSC: 47H10; 26A33; 45G10

Generalization of Darbos fixed point theorem via SRμ-contractions with application to integral equations

“…In current research, we introduce a generalization of Darbo's fixed point theorem via R-functions. In comparison with recent results such as Jleli et al [4] and Chen and Tang [1], our results are more generalized than others. Taking in account that [4] is an special case of our results.…”

Boundary Value Problems for Hybrid Caputo Fractional Differential Equations

“…A generalization of Theorem 1, which is very useful for our study, is the following theorem (see [35]).…”

About the existence of solutions for a hybrid nonlinear generalized fractional pantograph equation

“…The following generalization of Darbo's fixed point theorem appears in [21] and it is the version in the context of measures of non-compactness of a recent result about fixed point theorem which appears in [22]. For the paper is self-contained, we present this result.…”

“…Recently, some generalizations of Theorem 1 have appeared in the literature (see [18][19][20][21], for example). The following generalization of Darbo's fixed point theorem appears in [21] and it is the version in the context of measures of non-compactness of a recent result about fixed point theorem which appears in [22].…”