Jungck-Khan iterative scheme and higher convergence rate

KHAN A. R., Gursoy F., KARAKAYA V.

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, cilt.93, sa.12, ss.2092-2105, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 93 Sayı: 12
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1080/00207160.2015.1085030
  • Dergi Adı: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2092-2105
  • Anahtar Kelimeler: Jungck-Khan iterative scheme, convergence, rate of convergence, data dependency, ASYMPTOTICALLY NONEXPANSIVE-MAPPINGS, FIXED-POINTS
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we continue the theme of analytical and numerical treatment of Jungck-type iterative schemes. In particular, we focus on a special case of Jungck-Khan iterative scheme introduced by Khan et al. [Analytical and numerical treatment of Jungck-type iterative schemes, Appl. Math. Comput. 231 (2014) 521-535] to get an insight in the strong convergence and data dependence results obtained therein. Our investigations show that this special case under different control conditions on parametric sequences provides higher convergence rate and better data dependence estimates as compared to the Jungck-Khan iterative scheme itself.