Strong convergence theorems and rate of convergence of multi-step iterative methods for continuous mappings on an arbitrary interval
In this article, by using the concept of W-mapping introduced by Atsushiba and Takahashi and K-mapping introduced by Kangtunyakarn and Suantai, we define W(T, N)-iteration and K(T.N)-iteration for finding a fixed point of continuous mappings on an arbitrary interval. Then, a necessary and sufficient...
محفوظ في:
| المؤلفون الرئيسيون: | , |
|---|---|
| التنسيق: | مقال |
| منشور في: |
Springer Publishing Company
2015
|
| الموضوعات: | |
| الوصول للمادة أونلاين: | http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84873817870&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38682 |
| الوسوم: |
إضافة وسم
لا توجد وسوم, كن أول من يضع وسما على هذه التسجيلة!
|
| الملخص: | In this article, by using the concept of W-mapping introduced by Atsushiba and Takahashi and K-mapping introduced by Kangtunyakarn and Suantai, we define W(T, N)-iteration and K(T.N)-iteration for finding a fixed point of continuous mappings on an arbitrary interval. Then, a necessary and sufficient condition for the strong convergence of the proposed iterative methods for continuous mappings on an arbitrary interval is given. We also compare the rate of convergence of those iterations. It is proved that the W(T.N)-iteration and K(T,N)-iteration are equivalent and the K(T,N)-iteration converges faster than the W(T,N)- iteration. Moreover, we also present numerical examples for comparing the rate of convergence between W(T,N) iteration and K(T,N)- iteration. © 2012 Phuengrattana and Suantai; licensee Springer. |
|---|