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http://hdl.handle.net/10553/56266
Title: | On generalized coupled fixed points with applications to the solvability of coupled systems of nonlinear quadratic integral equations | Authors: | Darwish, Mohamed Abdalla Sadarangani Sadarangani, Kishin Bhagwands |
UNESCO Clasification: | 12 Matemáticas | Keywords: | Measures of noncompactness Generalized coupled fixed point Coupled system Integral equation Fixed point theorem |
Issue Date: | 2018 | Journal: | Fixed Point Theory | 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. | URI: | http://hdl.handle.net/10553/56266 | ISSN: | 1583-5022 | DOI: | 10.24193/fpt-ro.2018.2.42 | Source: | Fixed Point Theory [ISSN 1583-5022], v. 19 (2), p. 527-544 |
Appears in Collections: | Artículos |
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