Investigates contraction mappings in Menger spaces, demonstrating solutions to fractional differential equations, suggesting new approaches in this mathematical field.
This paper presents F-contraction mappings in controlled Menger probabilistic metric spaces, extending the concept of Menger probabilistic metric spaces. We investigate nonlinear contractions for multivalued operators and establish several fixed point theorems in partially ordered controlled Menger probabilistic metric spaces. Furthermore, we apply these results to demonstrate the existence of solutions to fractional differential equations.
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Chaharpashlou et al. (2025) studied this question.
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