Abstract
We consider several versions of the barrier method for a general equilibrium
problem with nonlinear constraints in a reflexive Banach space setting.
We suggest weak coercivity conditions instead of (generalized) monotonicity, including
one containing a perturbed barrier function, in order to entail solutions
for the equilibrium problem. We obtain convergence properties of the method
under mild assumptions.
| Lingua originale | English |
|---|---|
| pagine (da-a) | 1-10 |
| Numero di pagine | 10 |
| Rivista | PURE AND APPLIED FUNCTIONAL ANALYSIS |
| Volume | 2017 |
| Stato di pubblicazione | Pubblicato - 2017 |
Keywords
- Equilibrium problems
- barrier method
- non-monotone bifunctions
- regularization method