Fixed-Point Theorems in Fuzzy Metric Spaces via Fuzzy F-Contraction

被引：23

作者：

Huang, Huaping ^{[1
]}

Caric, Biljana ^{[2
]}

Dosenovic, Tatjana ^{[3
]}

Rakic, Dusan ^{[3
]}

Brdar, Mirjana ^{[3
]}

机构：

[1] Chongqing Three Gorges Univ, Sch Math & Stat, Wanzhou 404020, Peoples R China

[2] Univ Novi Sad, Fac Tech Sci, Trg Dositeja Obradovica 6, Novi Sad 21000, Serbia

[3] Univ Novi Sad, Fac Technol Novi Sad, Bulevar Cara Lazara 1, Novi Sad 21000, Serbia

来源：

MATHEMATICS | 2021年 / 9卷 / 06期

关键词：

fixed-point; fuzzy metric space; t-norm; fuzzy F-contraction;

D O I：

10.3390/math9060641

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to introduce a new type of contraction called fuzzy F-contraction. As compared to the F-contraction in the existing literature, our fuzzy F-contraction is much simpler and more straightforward, since it contains only one condition-that is, the function F is strictly increasing. Moreover, some fixed-point theorems for fuzzy F-contraction are presented. Further, some examples are given to illustrate its validity and superiority. In addition, by applying a very significant lemma, we show that our proofs of most fixed-point theorems are shorter and more elegant than ones in the literature.

引用

页数：10

共 22 条

[1]

[Anonymous], 1960, Pacific J. Math., DOI DOI 10.2140/PJM.1960.10.313

[2]

Banach S., 1922, Fundamenta Mathematicae, V3, P133, DOI [10.4064/fm-3-1-133-181, DOI 10.4064/FM-3-1-133-181]

[3] Some Fixed Point Results for the Generalized F-suzuki Type Contractions in b-metric Spaces [J].

Chandok, Sumit ;

Huang, Huaping ;

Radenovic, Stojan .

SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2018, 11 (01) :81-89

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

GEORGE, A ;

VEERAMANI, P .

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

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

GRABIEC, M .

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

[6] On fixed-point theorems in fuzzy metric spaces [J].

Gregori, V ;

Sapena, A .

FUZZY SETS AND SYSTEMS, 2002, 125 (02) :245-252

[7] Contractive sequences in fuzzy metric spaces [J].

Gregori, Valentin ;

Minana, Juan-Jose ;

Miravet, David .

FUZZY SETS AND SYSTEMS, 2020, 379 :125-133

[8] On fuzzy ψ-contractive sequences and fixed point theorems [J].

Gregori, Valentin ;

Minana, Juan-Jose .

FUZZY SETS AND SYSTEMS, 2016, 300 :93-101

[9] Some remarks on fuzzy contractive mappings [J].

Gregori, Valentin ;

Minana, Juan-Jose .

FUZZY SETS AND SYSTEMS, 2014, 251 :101-103

[10] On a class of completable fuzzy metric spaces [J].

Gregori, Valentin ;

Morillas, Samuel ;

Sapena, Almanzor .

FUZZY SETS AND SYSTEMS, 2010, 161 (16) :2193-2205

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