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

被引：8

作者：

Saleh, Samera M. ^{[1
]}

Alfaqih, Waleed M. ^{[2
]}

Sessa, Salvatore ^{[3
]}

Di Martino, Ferdinando ^{[3
]}

机构：

[1] Taiz Univ, Fac Sci, Dept Math, Taizi 6803, Yemen

[2] Hajjah Univ, Dept Math, Hajjah 1729, Yemen

[3] Univ Napoli Federico II, Dipartimento Architettura, Via Toledo 402, I-80134 Naples, Italy

来源：

AXIOMS | 2022年 / 11卷 / 03期

关键词：

fuzzy metric space; fixed point; binary relation; R-psi-contractive mappings; Caputo fractional differential equation; PARTIALLY ORDERED SETS; MAPPINGS;

D O I：

10.3390/axioms11030117

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce the notion of 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 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

页数：18

共 27 条

[1]

Agarwal RP, 2009, GEORGIAN MATH J, V16, P401

[2] Relation-theoretic contraction principle [J].