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

共 50 条

[1] Some fixed point results in ordered bicomplex-valued metric spaces
Abdalla, Mohamed
Mostefaoui, Zahia
He, Fuli
RIVISTA DI MATEMATICA DELLA UNIVERSITA DI PARMA, 2021, 12 (02): : 201 - 219
[2] Fixed point in bicomplex valued metric spaces
Beg, Ismat
Datta, Sanjib Kumar
Pal, Dipankar
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2021, 12 (02): : 717 - 727
[3] Controlled Extended Branciari Quasi-b-Metric Spaces, Results, and Applications to Riesz-Caputo Fractional Differential Equations and Nonlinear Matrix Equations
Jain, Reena
Nashine, Hemant Kumar
George, Reny
FRACTAL AND FRACTIONAL, 2024, 8 (01)
[4] Solving system of linear equations via bicomplex valued metric space
Gnanaprakasam, Arul Joseph
Boulaaras, Salah Mahmoud
Mani, Gunaseelan
Cherif, Bahri
Idris, Sahar Ahmed
DEMONSTRATIO MATHEMATICA, 2021, 54 (01) : 474 - 487
[5] On Graphical Fuzzy Metric Spaces with Application to Fractional Differential Equations
Saleem, Naeem
Ishtiaq, Umar
Guran, Liliana
Bota, Monica-Felicia
FRACTAL AND FRACTIONAL, 2022, 6 (05)
[6] A new type of three dimensional metric spaces with applications to fractional differential equations
Souayah, Nizar
Mlaiki, Nabil
Haque, Salma
Rizk, Doaa
Baazeem, Amani S.
Shatanawi, Wasfi
AIMS MATHEMATICS, 2022, 7 (10): : 17802 - 17814
[7] Applications to Nonlinear Fractional Differential Equations via Common Fixed Point on C*-Algebra-Valued Bipolar Metric Spaces
Mani, Gunaseelan
Gnanaprakasam, Arul Joseph
Subbarayan, Poornavel
Chinnachamy, Subramanian
George, Reny
Mitrovic, Zoran D.
FRACTAL AND FRACTIONAL, 2023, 7 (07)
[8] A generalization of Geraghty's theorem in partially ordered metric spaces and applications to ordinary differential equations
Gordji, Madjid Eshaghi
Ramezani, Maryam
Cho, Yeol Je
Pirbavafa, Saeideh
FIXED POINT THEORY AND APPLICATIONS, 2012, : 1 - 9
[9] Fixed point theory in complex valued controlled metric spaces with an applications
Aslam, Muhammad Suhail
Chowdhury, Mohammad Showkat Rahim
Guran, Liliana
Alqudah, Manar A.
Abdeljawad, Thabet
AIMS MATHEMATICS, 2022, 7 (07): : 11879 - 11904
[10] Solving System of Linear Equations Using Common Fixed Point Theorems in Bicomplex Valued Metric Spaces
Shammaky, Amnah Essa
Ahmad, Jamshaid
MATHEMATICS, 2023, 11 (20)

← 1 2 3 4 5 →