Abstract
We propose a parallel iterative scheme with viscosity approximation method which converges strongly to a solution of the multiple-set split equality common fixed point problem for quasi-pseudocontractive mappings in real Hilbert spaces. We also give an application of our result to approximation of minimization problem from intensity-modulated radiation therapy. Finally, we present numerical examples to demonstrate the behaviour of our algorithm. This result improves and generalizes many existing results in literature in this direction.
| Original language | English |
|---|---|
| Pages (from-to) | 2733-2759 |
| Number of pages | 27 |
| Journal | Journal of Industrial and Management Optimization |
| Volume | 17 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - Sept 2021 |
| Externally published | Yes |
Keywords
- Lipschitzian quasi-pseudocontractive mapping
- Split equality common fixed point problem
- viscosity approximation
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