New Relation-Theoretic Fixed Point Theorems in Revised Fuzzy Metric Spaces With an Application to Fractional Differential Equations
DOI:
https://doi.org/10.26713/cma.v14i2.1772Keywords:
Revised fuzzy metric space, Fixed point, Binary relation, R-ψ-contractive mappings, Caputo fractional differential equationAbstract
In this paper, we introduce the notion of revised fuzzy \(\mathcal{R}\)-\(\psi\)-contractive mappings and prove some relevant results on the existence and uniqueness of fixed points for this type of mappings in the setting of non-Archimedean revised fuzzy metric spaces. Several illustrative examples are also given to support our newly proven results. Furthermore, we apply our main results to prove the existence and uniqueness of a solution for Caputo fractional differential equations.
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