CONVERGENCE OF A NEW MULTISTEP ITERATION IN CONVEX CONE METRIC SPACES


Gunduz B.

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, cilt.32, ss.39-46, 2017 (ESCI İndekslerine Giren Dergi)

  • Cilt numarası: 32 Konu: 1
  • Basım Tarihi: 2017
  • Doi Numarası: 10.4134/ckms.c160005
  • Dergi Adı: COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY
  • Sayfa Sayısı: ss.39-46

Özet

In this paper, we propose a new multistep iteration for a finite family of asymptotically quasi-nonexpansive mappings in convex cone metric spaces. Then we show that our iteration converges to a common fixed point of this class of mappings under suitable conditions. Our result generalizes the corresponding result of Lee [5] from the closed convex subset of a convex cone metric space to whole space.