An activity on fixed point

Year 2021, Volume: 4 Issue: 1, 1 - 5, 06.02.2021

Süheyla Elmas

Abstract

In this study, Newton methot;
𝑥𝑛+1 𝑓′(𝑥𝑛)= 𝑥𝑛 .𝑓′(𝑥𝑛) -- f(𝑥𝑛)

is also an example of fixed point iteration, for the equation, We begin by asking whether the equation x = f(x) has a solution. We have proved the importance of the Newton method once again.

Keywords

Functions , fixed point iterations , convergance speed , Newton methot and fixed point

References

• 1. S.Elmas, Fixed Point Iteration and Newton's Method,JOURNAL OF ADVANCED MATHEMATICS AND MATHEMATICS EDUCATION 1 (1), 1-10
• 2. S Elmas, CONVERGENCE OF THE PICARD-MANN HYBRID ITERATION IN CONVEX CONE METRIC SPACES,Journal of Advenced Mathematics and Mathematics Education 1, 12-16 3. S Elmas ,A Fixed Point Theorem for Triangular Surface Mapping and Functions of Different
• INTERNATIONAL JOURNAL OF ENVIRONMENTAL & SCIENCE EDUCATION 12 (8), 1743-1749
• 4. S Elmas ,S.Hızarcı, The Golden Ratio, the Golden Number and a review on Fixed Point,Ciencia e tecnica Vitivinicola 31 (12)
• 5. S Elmas , S.Hızarcı, SOME NEW CONVERGENCE THEOREMS FOR A HYBRID PAIR OF NONEXPANSIVE MAPPINGS IN CAT(0) SPACES,Ciencia e Tecnica Vitivinicola 31 (4), 1-14
• 6. S Elmas ,S.Hızarcı, APPLICATIONS OF FIXED POINT IN MENELAUS THEOREM, European Journal of Basic and Applied Sciences 2 (1), 26-32
• 7. S. Elmas. 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
• 8. Dr. B.D. Pant, S. Kumar, Some Fixed Point Theorems in Menger Spaces and Aplications, Uttarakhand 247712, March 2008.
• 9. A.McLennan, Advanced Fixed Point Theory for Economics, April 8, 2014.
• 10. Y .Soykan, "Fonksiyonel Analiz", Nobel Yayın Dağıtım Ankara. Turkey, 2008