Strong convergence theorems for a nonmonotone equilibrium problem and a quasi-variational inclusion problem. (English) Zbl 07872902
Summary: We survey nonmonotone equilibrium problems and quasi-variational inclusions in Hilbert spaces. We construct an iterative sequence for approximating a common solution of a nonmonotone equilibrium problem and a quasi-variational inclusion by utilizing the auxiliary problem method. A strong convergence theorem is proved provided several assumptions are satisfied.
MSC:
| 47J22 | Variational and other types of inclusions |
| 47H05 | Monotone operators and generalizations |
| 65K15 | Numerical methods for variational inequalities and related problems |
| 90C33 | Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) |
