A Coupled Fixed Point Technique for Solving Coupled Systems of Functional and Nonlinear Integral Equations
Open Access
- 17 July 2019
- journal article
- research article
- Published by MDPI AG in Mathematics
- Vol. 7 (7) , 634
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
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