A NONLINEAR F-CONTRACTION FORM OF SADOVSKII'S FIXED POINT THEOREM AND ITS APPLICATION TO A FUNCTIONAL INTEGRAL EQUATION OF VOLTERRA TYPE

DOI10.22190/FUMI200717024NzbMath1483.47085MaRDI QIDQ4956630

Faezeh Zahedi, Donal O'Regan, Kourosh Nourouzi

Publication date: 2 September 2021

Published in: Facta Universitatis, Series: Mathematics and Informatics (Search for Journal in Brave)

zbMATH Keywords

functional integral equationsfixed-point theoremsnonlinear contraction

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Applications of operator theory to differential and integral equations (47N20) Volterra integral equations (45D05) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Cites Work

• Unnamed Item
• On Darbo-Sadovskii's fixed point theorems type for abstract measures of (weak) noncompactness
• Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
• Measures of noncompactness in metric fixed point theory
• An application of a measure of noncompactness in the study of asymptotic stability
• Fixed points of dynamic processes of set-valued \(F\)-contractions and application to functional equations
• Some generalizations of Darbo fixed point theorem and applications
• Punti uniti in trasformazioni a codominio non compatto
• Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness

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