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

被引：18

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

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