Coincidence Point of Edelstein Type Mappings in Fuzzy Metric Spaces and Application to the Stability of Dynamic Markets

被引：3

作者：

Shukla, Satish ^{[1
]}

Dubey, Nikita ^{[1
]}

Shukla, Rahul ^{[2
]}

Meznik, Ivan ^{[3
]}

机构：

[1] Shri Vaishnav Vidyapeeth Vishwavidyalaya, Shri Vaishnav Inst Sci, Dept Math, Gram Baroli Sanwer Rd, Indore 453111, India

[2] Walter Sisulu Univ, Dept Math Sci & Comp, ZA-5117 Mthatha, South Africa

[3] Brno Univ Technol, Inst Informat, Fac Business & Management, Kolejni 2906-4, Brno 61200, Czech Republic

来源：

AXIOMS | 2023年 / 12卷 / 09期

关键词：

Edelstein mapping; fuzzy metric space; coincidence point; dynamic market; demand and supply functions; sensitivity index; equilibrium point; CONTRACTIVE MAPPINGS; FIXED-POINTS; THEOREMS;

D O I：

10.3390/axioms12090854

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove a coincidence point result for a pair of mappings satisfying Edelstein-type contractive condition on fuzzy metric spaces. We describe the equilibrium of a simple demand-supply model of a dynamic market by the coincidence point of demand and supply functions. With the help of the coincidence point theorem in fuzzy metric spaces, it is showed that a dynamic market of a supply-sensitive nature (or demand-sensitive nature) always tends towards its equilibrium.

引用

页数：14

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