Work

Modified Meir-Keeler-type contraction in fuzzy metric spaces for single-valued and set-valued mappings with solution to boundary value problem

Year: 2025

Type: article

Abstract: In this work, the revised conceptions of single-valued and set-valued Meir-Keeler-type contraction are defined, together with fixed point findings for such contractions in fuzzy metric space ( $\mathcal{FMS}$ ). Extensive examples are provided to validate the outcomes. The findings demonstrated in this work generalize a number of intriguing findings in existing metric spaces. Our novel thoughts and results are also applied to the folding of an elastic band restrained at both ends by taking into account the two-point boundary issue involving differential equations of fourth order.

Source: Boundary Value Problems

DOI: 10.1186/s13661-025-02065-z

Authors: Vishal Gupta, Pooja Dhawan, Rahul Shukla

Institutions: Maharishi Markandeshwar University, Mullana, Walter Sisulu University

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,890

OpenAlex ID: W4410824110

FWCI: 1.865

Cites: 21

Cited by: 1

Related to: 10