Existence of common fuzzy fixed points via fuzzy F-contractions in b-metric spaces
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View abstract on PubMed
Summary
This summary is machine-generated.This study establishes common fuzzy fixed points in complete b-metric spaces for fuzzy mappings using F-contractions. The findings offer valuable applications in solving differential and integral equations.
Area Of Science
- * Mathematical Analysis
- * Topology
- * Fuzzy Mathematics
Background
- * Fixed point theory is crucial for solving various mathematical problems.
- * Fuzzy sets and fuzzy mappings extend classical concepts to handle uncertainty.
- * Complete b-metric spaces provide a generalized framework for metric spaces.
Purpose Of The Study
- * To establish common fuzzy fixed points for fuzzy mappings in complete b-metric spaces.
- * To investigate mappings satisfying F-contraction conditions.
- * To demonstrate the utility of fixed point techniques in applied mathematics.
Main Methods
- * Utilizing the concept of common fuzzy fixed points.
- * Applying F-contraction conditions on fuzzy mappings.
- * Employing techniques within the framework of complete b-metric spaces.
Main Results
- * Existence and uniqueness of common fuzzy fixed points are established.
- * Theoretical results are supported by non-trivial examples.
- * The study extends and generalizes existing literature on fuzzy fixed points.
Conclusions
- * The established common fuzzy fixed points provide a robust theoretical foundation.
- * The findings have significant implications for approximating solutions to integral and differential equations.
- * An application to non-linear Fredholm integral equations validates the practical relevance.
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