Existence results for a system of nonlinear integral equations in Banach algebras under weak topology


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	Existence results for a system of nonlinear integral equations in Banach algebras under weak topology


	Fixed Point Theory, Volume 18, No. 1, 2017, 247-268, March 1st, 2017 DOI: 10.24193/fpt-ro.2017.1.21 Authors: Aref Jeribi, Najib Kaddachi and Bilel Krichen Abstract: This paper is devoted to the study of a coupled system of nonlinear functional integral equations in suitable Banach algebras. This system is reduced to a fixed point problem for a 2 x 2 block operator matrix with nonlinear inputs. Hence, certain assumptions on its entries are given under a weak topology setting. These assumptions involve in particular the De Blasi measure of weak noncompactness in order to ensure the existence of solutions. Key Words and Phrases: integral equation, Banach algebra, weakly sequentially continuous, measure of weak noncompactness, fixed point theory. 2010 Mathematics Subject Classification: 47H10, 45G15. Published on-line: March 1st, 2017. Abstract pdf Fulltext pdf Back to volume's table of contents