Computational fixed points in graphical rectangular metric spaces with application

被引：16

作者：

Baradol, Pravin ^{[1
]}

Gopal, Dhananjay ^{[1
]}

Radenovic, Stojan ^{[2
]}

机构：

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

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

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2020年 / 375卷

关键词：

Graph; Fixed point; Graphical rectangular metric; Integral equation; BANACH-CACCIOPPOLI TYPE; THEOREM;

D O I：

10.1016/j.cam.2020.112805

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：12

共 18 条

[1] Common fixed points of set-valued F-contraction mappings on domain of sets endowed with directed graph [J].