In this paper we investigate the Aubin property of the solution map of a parametric equilibrium problem, by providing a connection with a suitable behaviour of the diagonal subdifferential operator associated to the equilibrium bifunction. In particular, we shed some light on the relationship between metric regularity and subregularity of the diagonal subdifferential, on one side, and some properties of the bifunction, on the other side.
Bianchi, M., Kassay, G., Pini, R., Stability of equilibria via regularity of the diagonal subdifferential operator, <<SET-VALUED AND VARIATIONAL ANALYSIS>>, 2017; (25): 789-805. [doi:10.1007/s11228-017-0433-8] [http://hdl.handle.net/10807/113680]
Stability of equilibria via regularity of the diagonal subdifferential operator
Bianchi, Monica
;
2017
Abstract
In this paper we investigate the Aubin property of the solution map of a parametric equilibrium problem, by providing a connection with a suitable behaviour of the diagonal subdifferential operator associated to the equilibrium bifunction. In particular, we shed some light on the relationship between metric regularity and subregularity of the diagonal subdifferential, on one side, and some properties of the bifunction, on the other side.
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