| Abstract: |
| This talk deals with generalized quasi-variational inequalities, namely problems involving a multivalued operator and a constraint set depending on the solution itself. These models arise in several applications, including equilibrium theory, optimization, and problems related to elliptic equations.
We present new existence results obtained under weaker assumptions than those typically required in the literature. In particular, we relax both the compactness conditions on the constraint set and the regularity assumptions on the multivalued operator. The approach is based on tools from nonlinear functional analysis and fixed point theory.
Our results extend the classical framework and provide a more flexible setting for the analysis of quasi-variational inequalities. |
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