caa a22 4500 463205960 CHVBK 20180405153126.0 cr unu---uuuuu 170326e20070301xx s 000 0 eng 10.1007/s11228-006-0035-3 doi (NATIONALLICENCE)springer-10.1007/s11228-006-0035-3 Uderzo A. Department of Statistics, University of Milan-Bicocca, Via Bicocca degli Arcimboldi, 8, 20126, Milan, Italy aut Convex Difference Criteria for the Quantitative Stability of Parametric Quasidifferentiable Systems [Elektronische Daten] [A. Uderzo] In this paper solvability and Lipschitzian stability properties for a special class of nonsmooth parametric generalized systems defined in Banach are studied via a variational analysis approach. Verifiable sufficient conditions for such properties to hold under scalar quasidifferentiability assumptions are formulated by combining *-difference and Demyanov difference of convex compact subsets of the dual space with classic quasidifferential calculus constructions. Applications to the formulation of sufficient conditions for metric regularity/open covering of nonsmooth maps, along with their employment in deriving optimality conditions for quasidifferentiable extremum problems, as well as an application to the study of semicontinuity of the optimal value function in parametric optimization are discussed. Springer Science + Business Media B.V., 2006 parametric generalized system nationallicence solution map nationallicence quasidifferential calculus nationallicence convex difference nationallicence Hoffman error bound nationallicence Lipschitz-like behavior nationallicence Set-Valued Analysis Kluwer Academic Publishers 15/1(2007-03-01), 81-104 0927-6947 15:1<81 2007 15 11228 https://doi.org/10.1007/s11228-006-0035-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11228-006-0035-3 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Uderzo A. Department of Statistics, University of Milan-Bicocca, Via Bicocca degli Arcimboldi, 8, 20126, Milan, Italy aut NATIONALLICENCE 773 0- Set-Valued Analysis Kluwer Academic Publishers 15/1(2007-03-01), 81-104 0927-6947 15:1<81 2007 15 11228 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer