Abstract
In this paper, using the idea of Halpern iteration, we prove a strong convergence theorem for finding a common fixed point of an infinite family of demimetric mappings in a Hilbert space. Using this result, we obtain well-known and new strong convergence theorems in a Hilbert space.
| Original language | English |
|---|---|
| Journal | Journal of Convex Analysis |
| Volume | 24 |
| Issue number | 4 |
| Publication status | Published - 2017 |
Keywords
- Common fixed point
- Demimetric mapping
- Halpern iteration
- Inverse strongly monotone mapping
- Metric projection
ASJC Scopus subject areas
- Analysis
- Mathematics(all)