Graphical structure of extended b-metric spaces: an application to the transverse oscillations of a homogeneous bar
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Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Walter De Gruyter Gmbh
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The purpose of this article is to present the notion of graphical extended b-metric spaces, blending the concepts of graph theory and metric fixed point theory. We discuss the structure of an open ball of the new proposed space and elaborate on the newly introduced ideas in a novel way by portraying suitably directed graphs. We also provide some examples in graph structure to show that our results are sharp as compared to the results in the existing state-of-art. Furthermore, an application to the transverse oscillations of a homogeneous bar is entrusted to affirm the applicability of the established results. Additionally, we evoke some open problems for enthusiastic readers for the future aspects of the study.
Açıklama
Anahtar Kelimeler
directed graph; fixed point; graphic contraction; graphical extended b-metric space; homogeneous bar
Kaynak
International Journal of Nonlinear Sciences and Numerical Simulation
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
23
Sayı
7-8
