Abstract
In this article, we suggest and analyze the splitting type viscosity methods for inclusion and fixed point problem of a nonexpansive mapping in the setting of Hadamard manifolds. We derive the convergence of sequences generated by the proposed iterative methods under some suitable assumptions. Several special cases of the proposed iterative methods are also discussed. Finally, some applications to solve the variational inequality, optimization and fixed point problems are given on Hadamard manifolds.
| Original language | English |
|---|---|
| Pages (from-to) | 5205-5221 |
| Number of pages | 17 |
| Journal | AIMS Mathematics |
| Volume | 6 |
| Issue number | 5 |
| DOIs | |
| State | Published - 2021 |
Keywords
- Fixed point problem
- Hadamard manifold
- Nonexpansive mapping
- Splitting type viscosity method
- Variational inclusion
- Variational inquality
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