Convergence Theorems for a Finite Family of I-asymptotically Nonexpansive Mappings in Banach Spaces


GÜNDÜZ B. , Akbulut S.

CHIANG MAI JOURNAL OF SCIENCE, cilt.44, no.3, ss.1144-1153, 2017 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 44 Konu: 3
  • Basım Tarihi: 2017
  • Dergi Adı: CHIANG MAI JOURNAL OF SCIENCE
  • Sayfa Sayıları: ss.1144-1153

Özet

In this paper, a new two-step iterative scheme for a finite family of I-i-asymptotically nonexpansive mapping {T-i}(i=1)(N) is constructed in a unformly in a convex Banach space. Weak and storng convergence theorems of this iterative scheme to a common fixed point of {T-i}(i=1)(N) and {I-i}(i=1)(N) are proved in a uniformly convex Banach space.