Abstract
In this paper, we investigate the common fixed points set of nonexpansive semigroups of nonlinear mappings (Formula presented.), i.e., a family such that (Formula presented.), where the domain is a metric space (M,d). In particular we prove that under suitable conditions, the common fixed points set is the same as the common fixed points set of two mappings from the family. Then we use the modified Mann iteration process to approximate such common fixed points.
| Original language | English |
|---|---|
| Journal | Fixed Point Theory and Algorithms for Sciences and Engineering |
| Volume | 2015 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Dec 2015 |
Bibliographical note
Publisher Copyright:© 2015, Bin Dehaish and Khamsi; licensee Springer.
Keywords
- Mann process
- fixed point
- hyperbolic metric space
- inequality
- nearest point projection
- nonexpansive mapping
- semigroup
- uniformly Lipschitzian mapping
- uniformly convex metric space
ASJC Scopus subject areas
- Geometry and Topology
- Applied Mathematics
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