On primal regularity estimates for single-valued and set-valued mappings
CIBULKA, R. On primal regularity estimates for single-valued and set-valued mappings. Western Michigan University, Kalamazoo, MI, USA, 2016.
|Anglický název:||On primal regularity estimates for single-valued and set-valued mappings|
|Autoři:||Ing. Radek Cibulka Ph.D. ,|
|Abstrakt EN:||We survey some regularity statements in variational analysis. We focus on theorems guaranteeing the openness at a linear rate of a mapping around the reference point, which is known to be equivalent to metric regularity. In particular we are going to discuss techniques used in the proofs of such statements. We start with regularity criterion by A.D. Ioffe, which can be traced back to the work of M. Fabian and D. Preiss, that substitutes complicated iterative procedures. When time permits we intend to present some applications of theoretical results. The lecture is based on papers co-authored by M. Fabian and A.D. Ioffe.|