Analytical Solution of Urysohn Integral Equations by Fixed Point Technique in Complex Valued Metric Spaces

Hasanen A. Hammad and Manuel De la Sen
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Hasanen A. Hammad: Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt
Manuel De la Sen: Institute of Research and Development of Processes University of the Basque Country, 48940 Leioa, Bizkaia, Spain

Mathematics, 2019, vol. 7, issue 9, 1-9

Abstract: The purpose of this article is to introduce a fixed point result for a general contractive condition in the context of complex valued metric spaces. Also, some important corollaries under this contractive condition are obtained. As an application, we find a unique solution for Urysohn integral equations, and some illustrative examples are given to support our obtaining results. Our results extend and generalize the results of Azam et al. Previous known related results in the literarure and some other known results in the literature.

Keywords: single-valued mappings; complex valued metric spaces; common fixed point; nonlinear integral equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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