On convergence of a multi step iteration process with errors for a finite family of quasi nonexpansive multi valued mappings

YILDIRIM İ.

Bulletin of Mathematical Analysis and Applications, cilt.5, ss.61-74, 2013 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5
  • Basım Tarihi: 2013
  • Dergi Adı: Bulletin of Mathematical Analysis and Applications
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.61-74
  • Atatürk Üniversitesi Adresli: Evet

Özet

In this paper, we introduce a general iterative process with errors for a finite family of quasi-nonexpansive multi-valued mappings and prove some strong and weak convergence theorems for such mappings in uniformly convex Banach spaces. Our results are generalizations as well as refinement of several known results in the current literature.