CONVERGENCE AND DATA DEPENDENCE RESULTS FOR HEMICONTRACTIVE OPERATORS

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

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, vol.18, no.4, pp.697-708, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 18 Issue: 4
  • Publication Date: 2017
  • Journal Name: JOURNAL OF NONLINEAR AND CONVEX ANALYSIS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.697-708
  • Keywords: Convergency, iterative methods, hemicontractive operators, accretive operators, data dependence, FIXED-POINT ITERATIONS, BANACH-SPACES, MAPPINGS, SCHEME
  • Yıldız Technical University Affiliated: Yes

Abstract

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.