New Relation-Theoretic Fixed Point Theorems in Revised Fuzzy Metric Spaces With an Application to Fractional Differential Equations

被引：0
|
作者：
Muraliraj, A. [1 ]
Thangathamizh, R. [2 ]
机构：
[1] Bharathidasan Univ, Urumu Dhanalakshmi Coll, PG & Res Dept Math, Trichy, India
[2] Anna Univ, K Ramakrishnan Coll Engn, Dept Math, Trichy, India
来源：
COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS | 2023年 / 14卷 / 02期
关键词：
Revised fuzzy metric space; Fixed point; Binary relation; R-psi-contractive mappings; Caputo fractional differential equation; PARTIALLY ORDERED SETS; CONTRACTIONS;
D O I：
10.26713/cma.v14i2.1772
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce the notion of revised fuzzy R-psi-contractive mappings and prove some relevant results on the existence and uniqueness of fixed points for this type of mappings in the setting of non-Archimedean revised fuzzy metric spaces. Several illustrative examples are also given to support our newly proven results. Furthermore, we apply our main results to prove the existence and uniqueness of a solution for Caputo fractional differential equations.
引用
收藏
页码：865 / 880
页数：16
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