On generalized coupled fixed points with applications to the solvability of coupled systems of nonlinear quadratic integral equations


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	On generalized coupled fixed points with applications to the solvability of coupled systems of nonlinear quadratic integral equations


	Fixed Point Theory, Volume 19, No. 2, 2018, 527-544, June 1st, 2018 DOI: 10.24193/fpt-ro.2018.2.42 Authors: Mohamed Abdalla Darwish and Kishin Sadarangani Abstract: In this paper, we introduce the notion of generalized coupled fixed points and, as a consequence of Darbo's fixed point theorem associated to an abstract measure of noncompactness, we present a result about the existence of this class of coupled fixed points in Banach spaces. As an application, we investigate the existence of solutions for a class of coupled systems of nonlinear quadratic integral equations of Volterra type. Key Words and Phrases: Measures of noncompactness, generalized coupled fixed point, coupled system, integral equation, fixed point theorem. 2010 Mathematics Subject Classification: 45G10, 45M99, 47H09. Published on-line: June 1st, 2018. Abstract pdf Fulltext pdf Back to volume's table of contents