On tripled fixed point theorems via measure of noncompactness with applications to a system of fractional integral equations

On tripled fixed point theorems via measure of noncompactness with applications to a system of fractional integral equations

In this paper, an extension of Darbo?s fixed point theorem via the concept of operators A(f;.) and ?-?-contractions in a Banach space has been presented. We illustrate that some conditions of control functions ? and ? can be omitted where they applied previously in [Mohammadi et al., Mathematics, 20...

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Veröffentlicht in:Filomat 2021, Vol.35 (14), p.4897-4915
Hauptverfasser: Parvaneh, Vahid, Banaei, Shahram, Roshan, Jamal, Mursaleen, M.
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Banaei, Shahram
Roshan, Jamal
Mursaleen, M.
description In this paper, an extension of Darbo?s fixed point theorem via the concept of operators A(f;.) and ?-?-contractions in a Banach space has been presented. We illustrate that some conditions of control functions ? and ? can be omitted where they applied previously in [Mohammadi et al., Mathematics, 2020, 8(4), 492]. As an application, we study the existence of solutions for a system of fractional integral equations. Finally, to support the effectiveness of our results, we present an example.
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title On tripled fixed point theorems via measure of noncompactness with applications to a system of fractional integral equations
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