OICC Press Communications in Nonlinear Analysis 2371-7920 13 1 2025 06 30 Fixed Point Theorems for Generalized F-Contractions of Rational Type via Iterative Set Methods in Complete Metric Spaces 10.57647/cna.2025.7hhv-3c31.11 EN V. c. Borkar Department of Mathematics, Yeshwant Mahavidyalaya, Swami Ramanand Teerth Marathwada University, India Saeed A. A. Al-Salehi Department of Mathematics, Science College, Swami Ramanand Teerth Marathwada University, India https://orcid.org/0009-0004-5799-4904 Journal Article 2025 06 30 In this paper, we investigate a new class of F -contraction mappings defined on complete metric spaces by applying iterative set techniques. Our study focuses on introducing rational-type contractive conditions that extend and generalize several existing approaches in the literature. To ensure clarity and accessibility, we provide precise definitions, detailed step-by-step arguments, and illustrative examples that highlight the main concepts and results. The presentation is designed to make the proofs easier to follow, even for readers who are new to this area, while also offering deeper mathematical insights. Furthermore, the findings reveal potential directions for extending fixed point theory, particularly by formulating new contraction principles and exploring broader applications in mathematical analysis. This work not only contributes to the theoretical development of fixed point results but also emphasizes their relevance for future research in related fields.