New coincidence point results for generalized graph-preserving multivalued mappings with applications

被引：0
作者：
Hasanen A. Hammad
Manuel De la Sen
Praveen Agarwal
机构：
[1] Sohag University,Department of Mathematics, Faculty of Science
[2] University of the Basque Country,Institute of Research and Development of Processes
[3] Anand International College of Engineering,Department of Mathematics
来源：
Advances in Difference Equations | / 2021卷
关键词：
Coincidence point; Directed graph; Fractional integral equation; -metric space; Set valued graph-preserving mappings; 46T99; 54H25; 34A08; 34B24;
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学科分类号：
摘要：
This research aims to investigate a novel coincidence point (cp) of generalized multivalued contraction (gmc) mapping involved a directed graph in b-metric spaces (b-ms). An example and some corollaries are derived to strengthen our main theoretical results. We end the manuscript with two important applications, one of them is interested in finding a solution to the system of nonlinear integral equations (nie) and the other one relies on the existence of a solution to fractional integral equations (fie).
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