Fixed point results in intuitionistic fuzzy pentagonal controlled metric spaces with applications to dynamic market equilibrium and satellite web coupling

This manuscript contains several new spaces as the generalizations of fuzzy triple controlled metric space, fuzzy controlled hexagonal metric space, fuzzy pentagonal controlled metric space and intuitionistic fuzzy double controlled metric space. We prove the Banach fixed point theorem in the contex...

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Bibliographic Details
Published in:PloS one 2024-08, Vol.19 (8), p.e0303141
Main Authors: Ishtiaq, Umar, Alshaikey, Salha, Riaz, Muhammad Bilal, Ahmad, Khaleel
Format: Article
Language:English
Subjects:
Algorithms
Analysis
Boundary value problems
Computer and Information Sciences
Context
Coupling
Engineering and Technology
Fixed points (mathematics)
Fuzzy control
Fuzzy Logic
Fuzzy sets
Humans
Internet
Market equilibrium
Metric space
Metric spaces
Models, Theoretical
Physical Sciences
Social Sciences
Theorems
Citations: Items that this one cites
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Summary:This manuscript contains several new spaces as the generalizations of fuzzy triple controlled metric space, fuzzy controlled hexagonal metric space, fuzzy pentagonal controlled metric space and intuitionistic fuzzy double controlled metric space. We prove the Banach fixed point theorem in the context of intuitionistic fuzzy pentagonal controlled metric space, which generalizes the previous ones in the existing literature. Further, we provide several non-trivial examples to support the main results. The capacity of intuitionistic fuzzy pentagonal controlled metric spaces to model hesitation, capture dual information, handle imperfect information, and provide a more nuanced representation of uncertainty makes them important in dynamic market equilibrium. In the context of changing market dynamics, these aspects contribute to a more realistic and flexible modelling approach. We present an application to dynamic market equilibrium and solve a boundary value problem for a satellite web coupling.
ISSN:1932-6203
1932-6203
DOI:10.1371/journal.pone.0303141