CONVERGENCE AND DATA DEPENDENCE RESULTS FOR HEMICONTRACTIVE OPERATORS

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

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, cilt.18, sa.4, ss.697-708, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 4
  • Basım Tarihi: 2017
  • Dergi Adı: JOURNAL OF NONLINEAR AND CONVEX ANALYSIS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.697-708
  • Anahtar Kelimeler: Convergency, iterative methods, hemicontractive operators, accretive operators, data dependence, FIXED-POINT ITERATIONS, BANACH-SPACES, MAPPINGS, SCHEME
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

We study convergence and data dependence of iterates presented in (B. Xu and M. A. Noor, Fixed point iterations for asymptotically nonexpansive mappings in Banach spaces, J. Math. Anal. Appl. 267 (2002), 444-453.) for hemicontractive operators in the framework of a real Banach space. Some non-trivial numerical examples in a Banach space setting which is not a Hilbert space are given to show the applicability of the results obtained herein. Our results substantially improve and generalize several well-known results in the current literature.