Abstract
Fixed point theorems are foundational tools in mathematics, with iterative applications spanning diverse fields such as optimization, machine learning, computational mathematics, and economic modeling. These theorems ensure the existence and convergence of fixed points under specific conditions, forming the basis for iterative algorithms that solve complex problems involving uncertainty and variability. This review explores the theoretical and practical aspects of fixed point theorems, focusing on their iterative applications in dynamic systems, data sciences, and decision-making processes. The study also highlights the alignment of these applications with the objectives of the National Education Policy (NEP) 2020. NEP 2020 emphasizes interdisciplinary research, critical thinking, and the integration of theoretical concepts with real- world problem-solving. By showcasing how fixed point theorems drive innovation in computational and applied sciences, this paper illustrates their potential to foster transformative education and skill development. The synergy between mathematical theory and practical applications not only advances research but also prepares students to address global challenges, resonating with NEP 2020’s vision for holistic and experiential learning.

DIP: 18.02.S22/20251001
DOI: 10.25215/2455/1001S22