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Fixed Point Iteration and Newton's Method

Year 2018, , 1 - 4, 01.01.2018

SĂŒheyla 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

Year 2018, , 1 - 4, 01.01.2018

SĂŒheyla Elmas

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

Abstract

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
There are 5 citations in total.

Details

Primary Language English
Journal Section Some Notes on the Extendibility of an Especial Family of Diophantine đ‘·đŸ Pairs
Authors

SĂŒheyla Elmas This is me

Publication Date January 1, 2018
Published in Issue Year 2018

Cite

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