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.

Konnov, I., Pini, R., Bianchi, M., BARRIER METHODS FOR EQUILIBRIUM PROBLEMS, <<PURE AND APPLIED FUNCTIONAL ANALYSIS>>, 2017; 2017 (2): 1-10 [http://hdl.handle.net/10807/113683]

BARRIER METHODS FOR EQUILIBRIUM PROBLEMS

Bianchi, M.
2017

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.
Inglese
Konnov, I., Pini, R., Bianchi, M., BARRIER METHODS FOR EQUILIBRIUM PROBLEMS, <<PURE AND APPLIED FUNCTIONAL ANALYSIS>>, 2017; 2017 (2): 1-10 [http://hdl.handle.net/10807/113683]
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10807/113683
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