FIXED POINTS OF FUZZY MULTIVALUED F-CONTRACTIVE MAPPINGS WITH A DIRECTED GRAPH IN PARAMETRIC METRIC SPACES

被引：2

作者：

Rafique, M. ^{[1
]}

Nazir, T. ^{[2
]}

Kalita, H. ^{[3
]}

机构：

[1] COMSATS Univ, Dept Math, Islamabad 44000, Pakistan

[2] Univ South Africa, Dept Math Sci, ZA-0003 Florida, South Africa

[3] VIT Bhopal Univ, Sch Adv Sci & Languages, Math Div, Sehore, Madhya Pradesh, India

来源：

PROBLEMY ANALIZA-ISSUES OF ANALYSIS | 2024年 / 13卷 / 03期

关键词：

F-contraction; fuzzy set; fuzzy multivalued mapping; fuzzy fixed point; PARTIALLY ORDERED SETS; VALUED MAPS; THEOREMS; DEPENDENCE;

D O I：

10.15393/j3.art.2024.15870

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the structure of a parametric metric space accompanied by directed graph, we introduce the idea of fuzzy multivalued F-contractive mappings. Results related to the existence of common fuzzy fixed points are introduced. The proved results are supported by an example. Our results bring together, sum up, and supplement different familiar related results in the literature. We hope that the acclaimed results in our work will encourage new analysis aspects in fixed-point theory and parallel hybrid models in the literature of fuzzy mathematics supplemented with a graph.

引用

页码：79 / 100

页数：22

共 31 条

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Abbas M, 2016, CARPATHIAN J MATH, V32, P1

[2] Fixed and periodic points of generalized contractions in metric spaces [J].