ScholarLens Back to search
2023•Research SquareOpen access

Fuzzy stability of functional equations via fixed point theorem

Gang Lü, Yang Liu, Yuanfeng Jin, Choonkil Park

Open full text 1 citations

Abstract

Abstract The aim of this manuscript is to initiate the study of the Banach contraction in fuzzy Banach spaces and discuss some related fixed point results to ensure the existence and uniqueness of a fixed point. A nontrivial example is imparted to illustrate the stability of the proposed methods. Finally, to validate the superiority of the provided results, an application is presented to solve the some kind of functional equation.

Open-access reader

About this research paper

What this paper is about

Abstract The aim of this manuscript is to initiate the study of the Banach contraction in fuzzy Banach spaces and discuss some related fixed point results to ensure the existence and uniqueness of a fixed point. A nontrivial example is imparted to illustrate the stability of the proposed methods. Finally, to validate the superiority of the provided results, an application is presented to solve the some kind of functional equation.

Why it matters

OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Abstract The aim of this manuscript is to initiate the study of the Banach contraction in fuzzy Banach spaces and discuss some related fixed point results to ensure the existence and uniqueness of a fixed point. A nontrivial example is imparted to illustrate the stability of the proposed methods. Finally, to validate the superiority of the provided results, an application is presented to solve the some kind of functional equation.

Key concepts: Fixed-point theorem, Uniqueness, Contraction mapping, Fixed point, Mathematics, Contraction (grammar), Banach space, Banach fixed-point theorem

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Fuzzy stability of functional equations via fixed point theorem — Research Paper | ScholarLens