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Date of Award
The dissertation introduces and studies the notions of Lipschitzian and Holderian full stability of solutions to three-parametric variational systems described in the generalized equation formalism involving nonsmooth base mappings and partial subgradients of prox-regular functions acting in Hilbert spaces. Employing advanced tools and techniques of second-order variational analysis allows us to establish complete characterizations of, as well as directly variable sufficient conditions for, such full stability properties under mild assumptions. Furthermore, we derive exact formulas and effective quantitative estimates for the corresponding moduli.
Pham, Dat, "Monotonicity Of Set-Valued Mappings And Full Stability Of General Parametrical Variational Systems" (2018). Wayne State University Dissertations. 2058.