Certain new aspects in fuzzy fixed point theory

被引：5

作者：

Ishtiaq, Umar ^{[1
]}

Hussain, Aftab ^{[2
]}

Al Sulami, Hamed ^{[2
]}

机构：

[1] Int Islamic Univ, Dept Math & Stat, H-10, Islamabad, Pakistan

[2] King Abdulaziz Univ, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

来源：

AIMS MATHEMATICS | 2022年 / 7卷 / 05期

关键词：

fuzzy rectangular metric space; fuzzy rectangular b-metric-like space; contraction mappings; fixed point theorems; Fredholm integral equations; METRIC-SPACES; CONTRACTION;

D O I：

10.3934/math.2022477

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We will establish several fixed point results in new introduced spaces in this manuscript known as fuzzy rectangular metric-like spaces and rectangular b-metric-like spaces. These new results and spaces will improve the approach of existing ones in the literature. Few non-trivial examples and an application also verify the uniqueness of solution.

引用

收藏

页码：8558 / 8573

页数：16

相关论文

共 24 条

[1] Fixed point and coupled fixed point theorems on b-metric-like spaces [J].

Alghamdi, Mohammed Ali ;

Hussain, Nawab ;

Salimi, Peyman .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,

[2] New Generalizations of Set Valued Interpolative Hardy-Rogers Type Contractions in b-Metric Spaces [J].

Ali, Muhammad Usman ;

Aydi, Hassen ;

Alansari, Monairah .

JOURNAL OF FUNCTION SPACES, 2021, 2021

[3] Metric-like spaces, partial metric spaces and fixed points [J].

Amini-Harandi, A. .

FIXED POINT THEORY AND APPLICATIONS, 2012,

[4]

Debnath P., 2021, Metric Fixed Point Theory, DOI 10.1007/978- 981-16-4896-0

[5] ON SOME RESULTS IN FUZZY METRIC-SPACES [J].

GEORGE, A ;

VEERAMANI, P .

FUZZY SETS AND SYSTEMS, 1994, 64 (03) :395-399

[6]

George R, 2015, J NONLINEAR SCI APPL, V8, P1005

[7] FIXED-POINTS IN FUZZY METRIC-SPACES [J].

GRABIEC, M .

FUZZY SETS AND SYSTEMS, 1988, 27 (03) :385-389

[8] Generalized dynamic process for an extended multi-valued F-contraction in metric-like spaces with applications [J].

Hammad, Hasanen A. ;

De la Sen, Manuel ;

Aydi, Hassen .

ALEXANDRIA ENGINEERING JOURNAL, 2020, 59 (05) :3817-3825

[9] On Orthogonal Partial b-Metric Spaces with an Application [J].

Javed, Khalil ;

Aydi, Hassen ;

Uddin, Fahim ;

Arshad, Muhammad .

JOURNAL OF MATHEMATICS, 2021, 2021

[10] On Fuzzy b-Metric-Like Spaces [J].

Javed, Khalil ;

Uddin, Fahim ;

Aydi, Hassen ;

Arshad, Muhammad ;

Ishtiaq, Umar ;

Alsamir, Habes .

JOURNAL OF FUNCTION SPACES, 2021, 2021