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.
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页数：10
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