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Iterative Applications of Fixed Point Theorems: Linking Mathematical Concepts to Practical Solutions in Alignment with NEP 2020

Ms. Vinita Sudhir , Mr. Manish Kumar Singh , Ms. Rita Shukla

DIP: 18.02.S22/20251001

DOI: 10.25215/2455/1001S22

Received: January 04, 2025; Revision Received: March 01, 2025; Accepted: March 31, 2025

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.

The author(s) appreciates all those who participated in the study and helped to facilitate the research process.

The author(s) declared no conflict of interest.

This is an Open Access Research distributed under the terms of the Creative Commons Attribution License (www.creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any Medium, provided the original work is properly cited.

Responding Author Information

Ms. Vinita Sudhir @ vinitasudhir9@gmail.com

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Iterative Applications of Fixed Point Theorems: Linking Mathematical Concepts to Practical Solutions in Alignment with NEP 2020

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Article Overview

ISSN 2455-670X

DIP: 18.02.S22/20251001

DOI: 10.25215/2455/1001S22

Published in

Volume 10, Issue 1, January – March, 2025 | Special Issue On Education

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