Abstract
Let C be a nonempty, bounded, closed, and convex subset of a Banach space X and T : C → C be a monotone asymptotically nonexpansive mapping. In this paper, we investigate the existence of fixed points of T. In particular, we establish an analogue to the original Goebel and Kirk’s fixed point theorem for asymptotically nonexpansive mappings.
| Original language | English |
|---|---|
| Pages (from-to) | 2451-2456 |
| Number of pages | 6 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 146 |
| Issue number | 6 |
| DOIs | |
| State | Published - 2018 |
Bibliographical note
Publisher Copyright:© 2018 Amerian Mathematial Soiety.
Keywords
- And phrases
- Asymptotic nonexpansive mapping
- Fixed point
- Monotone mapping
- Partially ordered
- Uniformly convex
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics