Graphical structure of double controlled metric-like spaces with an application

Hasanen A. Hammad; Hassen Aydi; Manuel De la Sen

doi:10.1186/s13662-022-03717-5

Graphical structure of double controlled metric-like spaces with an application

Hasanen A. Hammad^*, Hassen Aydi^*, Manuel De la Sen

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

The aim of the manuscript is to present the concept of a graphical double controlled metric-like space (for short, GDCML-space). The structure of an open ball of the proposed space is also discussed, and the newly presented ideas are explained with a new technique by depicting appropriately directed graphs. Moreover, we present some examples in a graph structure to prove that our results are sharp compared to those in the previous papers. Further, the existence of a solution to the boundary value problem originating from the transverse oscillations of a homogeneous bar (TOHB) is obtained theoretically.

Original language	English
Article number	46
Journal	Advances in Continuous and Discrete Models
Volume	2022
Issue number	1
DOIs	https://doi.org/10.1186/s13662-022-03717-5
Publication status	Published - Dec 2022
Externally published	Yes

Keywords

Directed graph
Fixed point
GDCML-space
Homogeneous bar

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10.1186/s13662-022-03717-5

Cite this

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title = "Graphical structure of double controlled metric-like spaces with an application",

abstract = "The aim of the manuscript is to present the concept of a graphical double controlled metric-like space (for short, GDCML-space). The structure of an open ball of the proposed space is also discussed, and the newly presented ideas are explained with a new technique by depicting appropriately directed graphs. Moreover, we present some examples in a graph structure to prove that our results are sharp compared to those in the previous papers. Further, the existence of a solution to the boundary value problem originating from the transverse oscillations of a homogeneous bar (TOHB) is obtained theoretically.",

keywords = "Directed graph, Fixed point, GDCML-space, Homogeneous bar",

author = "Hammad, {Hasanen A.} and Hassen Aydi and {De la Sen}, Manuel",

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AU - Aydi, Hassen

AU - De la Sen, Manuel

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N2 - The aim of the manuscript is to present the concept of a graphical double controlled metric-like space (for short, GDCML-space). The structure of an open ball of the proposed space is also discussed, and the newly presented ideas are explained with a new technique by depicting appropriately directed graphs. Moreover, we present some examples in a graph structure to prove that our results are sharp compared to those in the previous papers. Further, the existence of a solution to the boundary value problem originating from the transverse oscillations of a homogeneous bar (TOHB) is obtained theoretically.

AB - The aim of the manuscript is to present the concept of a graphical double controlled metric-like space (for short, GDCML-space). The structure of an open ball of the proposed space is also discussed, and the newly presented ideas are explained with a new technique by depicting appropriately directed graphs. Moreover, we present some examples in a graph structure to prove that our results are sharp compared to those in the previous papers. Further, the existence of a solution to the boundary value problem originating from the transverse oscillations of a homogeneous bar (TOHB) is obtained theoretically.

KW - Directed graph

KW - Fixed point

KW - GDCML-space

KW - Homogeneous bar

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JO - Advances in Continuous and Discrete Models

JF - Advances in Continuous and Discrete Models

IS - 1

M1 - 46

ER -

Graphical structure of double controlled metric-like spaces with an application

Abstract

Keywords

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