Existence of solutions of an infinite system of nonlinear integral equations in a new WC-Banach algebra

Mohamed Najib Ellouze, Bilel Krichen, Bilel Mefteh

Abstract


In this paper we investigate some new examples of WC-Banach algebras
and we use them as a framework to prove the existence of solutions of an infinite
system of nonlinear integral quadratic equations. The analysis is based on a Kras-
noselskii fixed point theorem type under weak topology setting. An illustrative
example is provided to clarify the obtained result.


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References


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DOI: https://doi.org/10.52846/ami.v52i2.2006