Fixed Point Iteration and Newton's Method

Year 2018, Volume: 1 Issue: 1, 1 - 4, 01.01.2018

Süheyla Elmas

https://doi.org/10.7813/2075-4124.2014/6-3/A.24

Abstract

In this study, we examined the Newton-Rapson method from fixed point iterations. With a few examples, we proved the validity of the method again

Keywords

Newton-Rapson method , fixed point iterations and fixed point.

References

• [1] Dr. B.D. Pant, S. Kumar, Some Fixed Point Theorems in Menger Spaces and Aplications, Uttarakhand 247712, March 2008.
• [2] A.McLennan, Advanced Fixed Point Theory for Economics, April 8, 2014.
• [3] S.Elmas, “A Fixed Point Theorem for Triangular Surface Mapping and Functions of Different”, International Journal of Environmental & Science Education, 2017, Vol. 12, No. 8, 1743-1749
• [6] S.Elmas, M.Özdemir, Convergence of a General Iterative Scheme for Three Infinite Fammilies of Uniformly Quasi – Lipschitzian Mappings in Convex Metric Spaces”, Advances in Fixed Point Theory, 3 (2013), No. 2, 406-417 ISSN: 1927-6303
• [7] S. Hizarci. A fixed point theorem for triangular surface mapping. International Journal of Academic Research Part A; 2014; 6(3),178-180. DOI: 10.7813/2075-4124.2014/6-3/A.24