CONVERGENCE OF A NEW MULTISTEP ITERATION IN CONVEX CONE METRIC SPACES
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, vol.32, no.1, pp.39-46, 2017 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 32 Issue: 1
- Publication Date: 2017
- Doi Number: 10.4134/ckms.c160005
- Journal Name: COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
- Page Numbers: pp.39-46
- Open Archive Collection: AVESIS Open Access Collection
- Erzincan Binali Yildirim University Affiliated: Yes
Abstract
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.