From resolvents to generalized equations and quasi-variational inequalities: existence and differentiability
نویسندگان
چکیده
We consider a generalized equation governed by strongly monotone and Lipschitz single-valued mapping maximally set-valued in Hilbert space. are interested the sensitivity of solutions w.r.t. perturbations both mappings. demonstrate that directional differentiability solution map can be verified using operator resolvent mapping. The result is applied to quasi-generalized equations which we have an additional dependence within part equation.
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ژورنال
عنوان ژورنال: Journal of nonsmooth analysis and optimization
سال: 2022
ISSN: ['2700-7448']
DOI: https://doi.org/10.46298/jnsao-2022-8537