On Darbo-Sadovskii's fixed point theorems type for abstract measures of (weak) noncompactness

The aim of this paper is to discuss on some generalizations of the celebrate Darbo and Sadovskii fixed point theorems without using the maximum property. Later on, we give an existence principle for a nonlinear integral equation.

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Bibliographic Details
Published inBulletin of the Belgian Mathematical Society, Simon Stevin Vol. 22; no. 5; pp. 797 - 812
Main Authors Garcia-Falset, Jesús, Latrach, Khalid
Format Journal Article
LanguageEnglish
Published The Belgian Mathematical Society 01.01.2015
Subjects
47H09
47H10
47H30
Darbo fixed point theorem
measure of weak noncompactness
nonlinear integral equations
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Summary:The aim of this paper is to discuss on some generalizations of the celebrate Darbo and Sadovskii fixed point theorems without using the maximum property. Later on, we give an existence principle for a nonlinear integral equation.
ISSN:1370-1444
2034-1970
DOI:10.36045/bbms/1450389249