The Study of Bicomplex-Valued Controlled Metric Spaces with Applications to Fractional Differential Equations

被引：11

作者：

Mani, Gunaseelan ^{[1
]}

Haque, Salma ^{[2
]}

Gnanaprakasam, Arul Joseph ^{[3
]}

Ege, Ozgur ^{[4
]}

Mlaiki, Nabil ^{[2
]}

机构：

[1] Saveetha Inst Med & Tech Sci, Saveetha Sch Engn, Dept Math, Chennai 602105, Tamil Nadu, India

[2] Prince Sultan Univ, Dept Math & Sci, Riyadh 11586, Saudi Arabia

[3] SRM Inst Sci & Technol, Fac Engn & Technol, Dept Math, SRM Nagar, Kattankulathur 603203, Tamil Nadu, India

[4] Ege Univ, Dept Math, TR-35100 Izmir, Turkiye

来源：

MATHEMATICS | 2023年 / 11卷 / 12期

关键词：

controlled-type metric spaces; bicomplex-valued controlled metric spaces; integral equation; fixed point; FIXED-POINT THEOREMS; MAPPINGS; CONTRACTIONS; PAIR;

D O I：

10.3390/math11122742

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce the concept of bicomplex-valued controlled metric spaces and prove fixed point theorems. Our results mainly focus on generalizing and expanding some recently established results. Finally, we explain an application of our main result to a certain type of fractional differential equation.

引用

页数：19

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