Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2018 / Cilt: 67 - Sayı: 2
A CONVERGENCE THEOREM IN GENERALIZED CONVEX
- Sayfa
- 147–155
- DOI
- —
Abstract
The aim of this work is to establish convergence theorem of a new iteration process for a finite family of I-asymptotically quasi-nonexpansive mappings and a finite family of asymptotically quasi-nonexpansive mappings in generalized convex cone metric spaces. Our result is valid in the whole space, whereas the results given in [4, 5] are valid in a nonempty convex subset of a convex cone metric space. Our convergence results generalize and refine not only result of Gunduz [6] but also results of Lee [4, 5] and Temir [9].