Intuitionistic Fuzzy Metric-like Spaces and Fixed-Point Results

被引：2

作者：

Onbasioglu, Suara ^{[1
]}

Pazar Varol, Banu ^{[1
]}

机构：

[1] Kocaeli Univ, Dept Math, TR-41001 Kocaeli, Turkiye

来源：

MATHEMATICS | 2023年 / 11卷 / 08期

关键词：

intuitionistic fuzzy set; metric-like spaces; intuitionistic fuzzy metric-like spaces; fixed-point theory; CONVERGENCE; THEOREMS;

D O I：

10.3390/math11081902

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The objective of this paper is to describe the concept of intuitionistic fuzzy metric-like spaces. This space is an extension of metric-like spaces and fuzzy metric spaces, and intuitionistic fuzzy metric spaces. We discuss convergence sequences, contractive mapping and some fixed-point theorems in intuitionistic fuzzy metric-like space. We also give explanations, examples and counterexamples to validate the superiority of these results. Our results provide a substantial extension of several important results from fuzzy metric-like spaces.

引用

页数：15

共 33 条

[1] Fixed points in intuitionistic fuzzy metric spaces [J].

Alaca, Cihangir ;

Turkoglu, Duran ;

Yildiz, Cernil .

CHAOS SOLITONS & FRACTALS, 2006, 29 (05) :1073-1078

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

Amini-Harandi, A. .

FIXED POINT THEORY AND APPLICATIONS, 2012,

[3] INTUITIONISTIC FUZZY-SETS [J].

ATANASSOV, KT .

FUZZY SETS AND SYSTEMS, 1986, 20 (01) :87-96

[4] Fuzzy Partial Metric Spaces and Fixed Point Theorems [J].

Aygun, Halis ;

Guner, Elif ;

Minana, Juan-Jose ;

Valero, Oscar .

MATHEMATICS, 2022, 10 (17)

[5]

Azam A, 2022, THAI J MATH, V20, P141

[6]

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

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

GEORGE, A ;

VEERAMANI, P .

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

[8]

George A., 1995, J. Fuzzy Math., V3, P933

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

GRABIEC, M .

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

[10] Extended Fuzzy Metrics and Fixed Point Theorems [J].

Gregori, Valentin ;

Minana, Juan-Jose ;

Miravet, David .

MATHEMATICS, 2019, 7 (03)

← 1 2 3 4 →