Solving a damped spring-mass system via the MA-simulation function
Introduction/purpose: In an interesting article, Perveen & Imdad (2019) introduced the notion of an MA-simulation function, and utilized it to prove the existence of a fixed point for a self mapping through α-admisibilty and the continuity of the self-map in a fuzzy metric space. The purpose...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Defence in Belgrade
2025-04-01
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| Series: | Vojnotehnički Glasnik |
| Subjects: | |
| Online Access: | https://scindeks.ceon.rs/article.aspx?artid=0042-84692502450J |
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| Summary: | Introduction/purpose: In an interesting article, Perveen & Imdad (2019)
introduced the notion of an MA-simulation function, and utilized it to prove
the existence of a fixed point for a self mapping through α-admisibilty and
the continuity of the self-map in a fuzzy metric space. The purpose of this
paper is to establish a unique fixed point theorem for an MA-contractive
mapping by relaxing the condition of continuity and α-admissibilty of the
map in a fuzzy metric space. As an application of our result, we study
the existence and uniqueness of the solution to the damped spring-mass
system. The article includes an example which shows the validity of our
results.
Methods: The fixed point method with an MA-simulation function was
used.
Results: A unique fixed point for a self map in a fuzzy metric space is
obtained.
Conclusions: A fixed point of the self map is obtained without the continuity and α-admissibility of the self map via the MA-simulation function.
Also, the existence and uniqueness of the solution of a damped springmass system in the setting of a fuzzy metric space is obtained.
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| ISSN: | 0042-8469 2217-4753 |