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

被引：32
作者：
Hammad, Hasanen Abuelmagd [1 ]
De la Sen, Manuel [2 ]
机构：
[1] Sohag Univ, Fac Sci, Dept Math, Sohag 82524, Egypt
[2] Univ Basque Country, Inst Res & Dev Proc, Leioa 48940, Spain
来源：
MATHEMATICS | 2019年 / 7卷 / 07期
关键词：
coupled common fixed point; F-contraction mapping; dynamic programming; nonlinear integral equations; METRIC-SPACES; MONOTONE MAPPINGS; CONTRACTIVE MAPPINGS; EXISTENCE THEOREMS;
D O I：
10.3390/math7070634
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页数：18
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