Abstract
In this paper, we introduce a hybrid extragradient method for approximating a common solution of a finite family of equilibrium problems associated with pseudomonotone bifunctions and a fixed point problem of a generalized demimetric mapping. Under suitable conditions, we prove a strong convergence theorem in Hadamard spaces. Finally, in order to further support our main results, we provide a numerical experiment and an example of a pseudomonotone bifunction in Hadamard spaces.
| Original language | English |
|---|---|
| Article number | 7 |
| Journal | Journal of Nonlinear Functional Analysis |
| Volume | 2024 |
| DOIs | |
| Publication status | Published - 2024 |
| Externally published | Yes |
Keywords
- CAT(0) space
- D-convergence
- Extragradient method
- Generalized Demimetric mapping
- Pseudomonotone equilibrium problem