On the convergence of an iteration method for continuous mappings on an arbitrary interval

Kadıoğlu Karaca, Nazlı; Yıldırım, İsa

doi:10.1186/1687-1812-2013-124

Makale Tam Makale Uluslararası 2013

On the convergence of an iteration method for continuous mappings on an arbitrary interval

Nazlı Kadıoğlu Karaca, İsa Yıldırım

FIXED POINT THEORY AND APPLICATIONS 01.01.2013

DOI ile aç

Özet

In this paper, we consider an iterative method for finding a fixed point of continuous mappings on an arbitrary interval. Then, we give the necessary and sufficient conditions for the convergence of the proposed iterative methods for continuous mappings on an arbitrary interval. We also compare the rate of convergence between iteration methods. Finally, we provide a numerical example which supports our theoretical results.

Atıf için künye

Kadıoğlu Karaca, N., & Yıldırım, İ. (2013). On the convergence of an iteration method for continuous mappings on an arbitrary interval. FIXED POINT THEORY AND APPLICATIONS. https://doi.org/10.1186/1687-1812-2013-124

BibTeX

@article{kadioglukaraca2013-57173,
  author = {Kadıoğlu Karaca, Nazlı and Yıldırım, İsa},
  title = {On the convergence of an iteration method for continuous mappings on an arbitrary interval},
  journal = {FIXED POINT THEORY AND APPLICATIONS},
  year = {2013},
  issn = {1687-1812},
  doi = {10.1186/1687-1812-2013-124},
  url = {https://akademik.atauni.edu.tr/yayinlar/57173-on-the-convergence-of-an-iteration-method-for-continuous-mappings-on-an}
}