Solution to Integral Equation in an O-Complete Branciari b-Metric Spaces

被引：4
|
作者：
Dhanraj, Menaha [1 ]
Gnanaprakasam, Arul Joseph [1 ]
Mani, Gunaseelan [2 ]
Ege, Ozgur [3 ]
De la Sen, Manuel [4 ]
机构：
[1] SRM Inst Sci & Technol, Coll Engn & Technol, Fac Engn & Technol, Dept Math, Kanchipuram 603203, India
[2] Saveetha Inst Med & Tech Sci, Saveetha Sch Engn, Dept Math, Chennai 602105, India
[3] Ege Univ, Dept Math, TR-35100 Izmir, Turkey
[4] Univ Basque Country, Inst Res & Dev Proc, Leioa 48940, Spain
来源：
AXIOMS | 2022年 / 11卷 / 12期
关键词：
orthogonal set; orthogonal preserving; orthogonal continuous; orthogonal Branciari b-metric space; orthogonal Geraghty type alpha-admissible contraction; fixed point theory; FIXED-POINT; MAPPINGS;
D O I：
10.3390/axioms11120728
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove fixed point theorem via orthogonal Geraghty type alpha-admissible contraction map in an orthogonal complete Branciari b-metric spaces context. An example is presented to strengthen our main result. We provided an application to find the existence and uniqueness of a solution to the Volterra integral equation. We have compared the approximate solution and exact solution numerically.
引用
收藏
页数：14
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