Artículo de revista
Prox-regularity approach to generalized equations and image projection
Fecha
2018-04Registro en:
Esaim-Control Optimisation and Calculus of Variations Volumen: 24 Número: 2 Páginas: 677-708
10.1051/cocv/2017052
Autor
Adly, Samir
Nacry, Florent
Thibault, Lionel
Institución
Resumen
In this paper, we first investigate the prox-regularity behaviour of solution mappings to generalized equations. This study is realized through a nonconvex uniform Robinson Ursescu type theorem. Then, we derive new significant results for the preservation of prox-regularity under various and usual set operations. The role and applications of prox-regularity of solution sets of generalized equations are illustrated with dynamical systems with constraints.