carpathian_2021_37_3_407_416_001

Measures of noncompactness and infinite systems of integral equations of Urysohn type in L^∞(G)


Banaei, Shahram, Parvaneh, Vahid and Mursaleen, Mohammad


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carpathian_2021_37_3_407_416

In this article, applying the concept of measure of noncompactness, some fixed point theorems in the Fréchet space L^\infty(\mathfrak{G}) (where \mathfrak{G}\subseteq \mathbb{R}^{\omega}) have been proved. We handle our obtained consequences to inquiry the existence of solutions for infinite systems of Urysohn type integral equations. Our results extend some famous related results in the literature. Finally, to indicate the effectiveness of our results we present a genuine example.

 

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Author(s)

 Banaei, Shahram,  Parvaneh, Vahid, Mursaleen, Mohammad

DOI

https://doi.org/10.37193/CJM.2021.03.04