A Coupled Fixed Point Technique for Solving Coupled Systems of Functional and Nonlinear Integral Equations

Hasanen Abuelmagd Hammad and Manuel De la Sen
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Hasanen Abuelmagd 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, Spain

Mathematics, 2019, vol. 7, issue 7, 1-18

Abstract: In this paper, we obtain coupled fixed point results for F -contraction mapping satisfying a nonlinear contraction condition in the framework of complete metric space without and with a directed graph. As applications of our results, we study a problem of existence and uniqueness of solutions for a class of systems of functional equations that appears in dynamic programming and nonlinear integral equations. Finally, illustrative examples to support some our results are discussed.

Keywords: coupled common fixed point; F -contraction mapping; dynamic programming; 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 (4)

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