The Technique of Quadruple Fixed Points for Solving Functional Integral Equations under a Measure of Noncompactness

Hasanen A. Hammad and Amal A. Khalil
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Hasanen A. Hammad: Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt
Amal A. Khalil: Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt

Mathematics, 2020, vol. 8, issue 12, 1-21

Abstract: Under the idea of a measure of noncompactness, some fixed point results are proposed and a generalization of Darbo’s fixed point theorem is given in this manuscript. Furthermore, some novel quadruple fixed points results via a measure of noncompactness for a general class of functions are presented. Ultimately, the solutions to a system of non-linear functional integral equations by the fixed point results obtained are discussed, and non-trivial examples to illustrate the validity of our study are derived.

Keywords: a measure of noncompactness; quadruple fixed points; functional integral equations; Darbo’s fixed point theorem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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