An iteration process for common fixed points of two nonself asymptotically nonexpansive mappings

Akbulut, Sezgin; Khan, Safeer Hussain; Özdemir, Murat

doi:10.2478/v10309-012-0002-y

Makale Tam Makale Uluslararası 2012

An iteration process for common fixed points of two nonself asymptotically nonexpansive mappings

Sezgin Akbulut, Safeer Hussain Khan, Murat Özdemir

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA Cilt 20 · Sayı 1 · ss. 15–30 · 01.01.2012

DOI ile aç

Özet

In this paper, we introduce an iteration process for approximating common fixed points of two nonself asymptotically nonexpansive mappings in Banach spaces. Our process contains Mann iteration process and some other processes for nonself mappings but is independent of Ishikawa iteration process. We prove some weak and strong convergence theorems for this iteration process. Our results generalize and improve some results in contemporary literature.

Atıf için künye

Akbulut, S., Khan, S. H., & Özdemir, M. (2012). An iteration process for common fixed points of two nonself asymptotically nonexpansive mappings. ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 20(1), 15–30. https://doi.org/10.2478/v10309-012-0002-y

BibTeX

@article{akbulut2012-73228,
  author = {Akbulut, Sezgin and Khan, Safeer Hussain and Özdemir, Murat},
  title = {An iteration process for common fixed points of two nonself asymptotically nonexpansive mappings},
  journal = {ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA},
  year = {2012},
  volume = {20},
  number = {1},
  pages = {15--30},
  issn = {1224-1784},
  doi = {10.2478/v10309-012-0002-y},
  url = {https://akademik.atauni.edu.tr/yayinlar/73228-an-iteration-process-for-common-fixed-points-of-two-nonself-asymptotically}
}