Special Session 96: Evolutionary Equations Systems

A convergence criterion for elliptic quasivariational inequalities
Anna Ochal
Jagiellonian University
Poland
Co-Author(s):    Mircea Sofonea (France) and Domingo Tarzia (Argentina)
Abstract:
The aim of this talk is to present a convergence result concerning an elliptic quasivariational inequality in a reflexive Banach space. Considering a sequence of unconstrained variational-hemivariational inequalities, we show that a sequence of their unique solutions converges to the solution of the quasivariational inequality. We introduce also a new well-posedness concept and show that it extends the classical Tykhonov and Levitin-Polyak well-posedness concepts for quasivariational inequalities.