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

Hasanen A. Hammad; Manuel De la Sen; Praveen Agarwal

doi:10.1186/s13662-021-03489-4

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

Hasanen A. Hammad
, Manuel De la Sen
, Praveen Agarwal

Sohag University
University of the Basque Country
International College of Engineering

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

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).

Original language	English
Article number	334
Journal	Advances in Difference Equations
Volume	2021
Issue number	1
DOIs	https://doi.org/10.1186/s13662-021-03489-4
State	Published - Dec 2021
Externally published	Yes

Keywords

Coincidence point
Directed graph
Fractional integral equation
Set valued graph-preserving mappings
b-metric space

Access to Document

10.1186/s13662-021-03489-4

Cite this

@article{2e64b0def8d843f4a13e9983be2e0d09,

title = "New coincidence point results for generalized graph-preserving multivalued mappings with applications",

abstract = "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).",

keywords = "Coincidence point, Directed graph, Fractional integral equation, Set valued graph-preserving mappings, b-metric space",

author = "Hammad, \{Hasanen A.\} and \{De la Sen\}, Manuel and Praveen Agarwal",

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s).",

year = "2021",

month = dec,

doi = "10.1186/s13662-021-03489-4",

language = "English",

volume = "2021",

journal = "Advances in Difference Equations",

issn = "1687-1839",

publisher = "Springer Publishing Company",

number = "1",

}

TY - JOUR

T1 - New coincidence point results for generalized graph-preserving multivalued mappings with applications

AU - Hammad, Hasanen A.

AU - De la Sen, Manuel

AU - Agarwal, Praveen

PY - 2021/12

Y1 - 2021/12

N2 - 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).

AB - 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).

KW - Coincidence point

KW - Directed graph

KW - Fractional integral equation

KW - Set valued graph-preserving mappings

KW - b-metric space

UR - https://www.scopus.com/pages/publications/85110189721

U2 - 10.1186/s13662-021-03489-4

DO - 10.1186/s13662-021-03489-4

M3 - Article

AN - SCOPUS:85110189721

SN - 1687-1839

VL - 2021

JO - Advances in Difference Equations

JF - Advances in Difference Equations

IS - 1

M1 - 334

ER -

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this