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Fatima M. Azmi

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Articles by Fatima M. Azmi

Exploring Fuzzy Triple Controlled Metric Spaces: Applications in Integral Equations

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By Fatima M. Azmi, F. M
| MDPI
1. Introduction The contraction principle, introduced by Banach in 1922 [1], has become a fundamental tool for proving fixed point results in metric spaces. This has spurred rapid growth and excitement in the field of fixed point theory, with its wide-ranging applications across various areas of mathematics. To extend the concept of classical metric spaces, Bakhtin [2] introduced b-metric spaces, which was followed by the proposal of extended b-metric spaces by Kamran et al. [3].
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Fixed Point Theory on Triple Controlled Metric-like Spaces with a Numerical Iteration

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By Fatima M. Azmi, Salma Haque
| MDPI
This is an early access version, the complete PDF, HTML, and XML versions will be available soon. Open AccessArticle by Fatima M. Azmi * and Salma Haque Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia * Author to whom correspondence should be addressed.
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Fixed-Point Results for (α-ψ)-Fuzzy Contractive Mappings on Fuzzy Double-Controlled Metric Spaces

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By Fatima M. Azmi, F. M
| MDPI
1. Introduction The fixed-point theory is a fast-growing and exciting field of mathematics with various applications in diverse areas of mathematics, including nonlinear analysis. It stems from the Banach contraction principle, which was proved in 1922 in a metric space setting [1].
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