Fixed Point Iteration and Newton's Method

Volume: 1 Number: 1 January 1, 2018
Süheyla Elmas
EN

Fixed Point Iteration and Newton's Method

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. [1] Dr. B.D. Pant, S. Kumar, Some Fixed Point Theorems in Menger Spaces and Aplications, Uttarakhand 247712, March 2008.
  2. [2] A.McLennan, Advanced Fixed Point Theory for Economics, April 8, 2014.
  3. [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
  4. [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
  5. [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
APA
Elmas, S. (2018). Fixed Point Iteration and Newton’s Method. Journal of Advanced Mathematics and Mathematics Education, 1(1), 1-4. https://doi.org/10.7813/2075-4124.2014/6-3/A.24
AMA
1.Elmas S. Fixed Point Iteration and Newton’s Method. JAMAME. 2018;1(1):1-4. doi:10.7813/2075-4124.2014/6-3/A.24
Chicago
Elmas, Süheyla. 2018. “Fixed Point Iteration and Newton’s Method”. Journal of Advanced Mathematics and Mathematics Education 1 (1): 1-4. https://doi.org/10.7813/2075-4124.2014/6-3/A.24.
EndNote
Elmas S (January 1, 2018) Fixed Point Iteration and Newton’s Method. Journal of Advanced Mathematics and Mathematics Education 1 1 1–4.
IEEE
[1]S. Elmas, “Fixed Point Iteration and Newton’s Method”, JAMAME, vol. 1, no. 1, pp. 1–4, Jan. 2018, doi: 10.7813/2075-4124.2014/6-3/A.24.
ISNAD
Elmas, Süheyla. “Fixed Point Iteration and Newton’s Method”. Journal of Advanced Mathematics and Mathematics Education 1/1 (January 1, 2018): 1-4. https://doi.org/10.7813/2075-4124.2014/6-3/A.24.
JAMA
1.Elmas S. Fixed Point Iteration and Newton’s Method. JAMAME. 2018;1:1–4.
MLA
Elmas, Süheyla. “Fixed Point Iteration and Newton’s Method”. Journal of Advanced Mathematics and Mathematics Education, vol. 1, no. 1, Jan. 2018, pp. 1-4, doi:10.7813/2075-4124.2014/6-3/A.24.
Vancouver
1.Süheyla Elmas. Fixed Point Iteration and Newton’s Method. JAMAME. 2018 Jan. 1;1(1):1-4. doi:10.7813/2075-4124.2014/6-3/A.24