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, ss.697-708, 2017 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 18 Konu: 4
  • Basım Tarihi: 2017
  • Dergi Adı: JOURNAL OF NONLINEAR AND CONVEX ANALYSIS
  • Sayfa Sayıları: ss.697-708

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.