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Makale Tam Makale Uluslararası 2019

FIXED POINT OF CONTINUOUS MAPPINGS DEFINED ON AN ARBITRARY INTERVAL

OSMAN ALAGÖZ, Birol Gunduz, Sezgin Akbulut

Miskolc Mathematical Notes Cilt 20 · Sayı 2 · ss. 719–728 · 01.01.2019
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Özet

In this work, we consider an iterative method given by Karaca and Yildirim [6] to approximate fixed point of continuous mappings defined on an arbitrary interval. Then, we give a necessary and sufficient condition for convergence theorem. We also compare the rate of convergence between the other iteration methods. Finally, we provide a numerical example which supports our theoretical results. Our findings improve corresponding results in the contemporary literature.

Atıf için künye

ALAGÖZ, O., Gunduz, B., & Akbulut, S. (2019). FIXED POINT OF CONTINUOUS MAPPINGS DEFINED ON AN ARBITRARY INTERVAL. Miskolc Mathematical Notes, 20(2), 719–728. https://doi.org/10.18514/mmn.2019.2509

BibTeX 
@article{alagoz2019-73294,
  author = {ALAGÖZ, OSMAN and Gunduz, Birol and Akbulut, Sezgin},
  title = {FIXED POINT OF CONTINUOUS MAPPINGS DEFINED ON AN ARBITRARY INTERVAL},
  journal = {Miskolc Mathematical Notes},
  year = {2019},
  volume = {20},
  number = {2},
  pages = {719--728},
  issn = {1787-2405},
  doi = {10.18514/mmn.2019.2509},
  url = {https://akademik.atauni.edu.tr/yayinlar/73294-fixed-point-of-continuous-mappings-defined-on-an-arbitrary-interval}
}