Abstract
In this paper, we investigate the common approximate fixed points of monotone nonexpansive semigroups of nonlinear mappings (Formula presented.), i.e., a family such that (Formula presented.), where the domain is a Banach space. In particular we prove that under suitable conditions, the common approximate fixed points are the same as the common approximate fixed points set of two mappings from the family. Then we give an algorithm of how to construct an approximate fixed point sequence of the semigroup in the case of a uniformly convex Banach space.
| Original language | English |
|---|---|
| Article number | 160 |
| Journal | Fixed Point Theory and Algorithms for Sciences and Engineering |
| Volume | 2015 |
| Issue number | 1 |
| DOIs | |
| State | Published - 8 Dec 2015 |
Bibliographical note
Publisher Copyright:© 2015, Bachar and Khamsi.
Keywords
- approximate fixed point
- common approximate fixed point
- common fixed point
- fixed point
- integral equation
- monotone nonexpansive mapping
- semigroup
ASJC Scopus subject areas
- Geometry and Topology
- Applied Mathematics