Computational fixed points in graphical rectangular metric spaces with application

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:375

Article

Baradol, Pravin¹  Gopal, Dhananjay¹  Radenovic, Stojan² 

[1] SV Natl Inst Technol, Surat, Gujarat, India

[2] Univ Belgrade, Fac Mech Engn, Kraljice Marije 16, Belgrade 11120 35, Serbia

关键词: Graph;    Fixed point;    Graphical rectangular metric;    Integral equation;   

DOI  :  10.1016/j.cam.2020.112805

来源: Elsevier

【 摘 要 】

In this manuscript, we initiated to study a notion of graphical rectangular metric space and established some fixed point theorems in the aforesaid space. We also discuss the structure of an open ball and Hausdorffness of the new metric. Suitable examples and graphs are presented to demonstrate the novelty of the results established. In the end, we apply the obtained result to show the existence of the solution of a particular type of integral equation. (C) 2020 Published by Elsevier B.V.

【 授权许可】

Free