Access Type
Open Access Dissertation
Date of Award
January 2018
Degree Type
Dissertation
Degree Name
Ph.D.
Department
Mathematics
First Advisor
Boris Mordukhovich
Abstract
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.
Recommended Citation
Pham, Dat, "Monotonicity Of Set-Valued Mappings And Full Stability Of General Parametrical Variational Systems" (2018). Wayne State University Dissertations. 2058.
https://digitalcommons.wayne.edu/oa_dissertations/2058