Abstract
The main purpose of this paper is to introduce and study a viscosity type algorithm in a Hadamard space which comprises of a demimetric mapping, a finite family of inverse strongly monotone mappings and an equilibrium problem for a bifunction. Strong convergence of the proposed algorithm to a common solution of variational inequality problem, fixed point problem and equilibrium problem is established in Hadamard spaces. Nontrivial Applications and numerical examples were given. Our results compliment some results in the literature.
| Original language | English |
|---|---|
| Pages (from-to) | 825-845 |
| Number of pages | 21 |
| Journal | Kragujevac Journal of Mathematics |
| Volume | 47 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 2023 |
Keywords
- Hadamard space
- Variational inequality problem
- demimetric mapping
- equilibruim problem
- inverse strongly monotone operator
- viscosity iteration