Abstract
In this paper, we extend the proximal point algorithm proposed by Chang et al.[8] for total asymptotically nonexpansive mapping in CAT(0) spaces. We also demonstrate the ∆-convergence and strong convergence to a common element of the set of minimizers of a convex function and the set of fixed points of the Cesàro type mean of total asymptotically nonexpansive mappings in CAT(0) spaces.
| Original language | English |
|---|---|
| Pages (from-to) | 4165-4176 |
| Number of pages | 12 |
| Journal | Filomat |
| Volume | 32 |
| Issue number | 12 |
| DOIs | |
| State | Published - 2018 |
Bibliographical note
Publisher Copyright:© 2018, University of Nis. All rights reserved.
Keywords
- CAT(0) space
- Convex minimization problem
- Proximal point algorithm
- Resolvent identity
- Strong and ∆-convergence
- Total asymptotically nonexpansive mapping
ASJC Scopus subject areas
- General Mathematics