Metric Regularity of Set-valued Mappings and Lipschitzian Stability of Variational Equation in Banach Spaces
Wen Wu Song · Acta Analysis Functionalis Applicata · 2011
In this paper,we survey some concepts for set-valued mappings,such as metric regularity, pesudo-Lipschitz property(or Aubin property),metric subregularity,and calmness,relationships among these concepts,and some criteria for them.We also present their applications to the robust Lipschitzian stability of solution mappings to variational equations,optimality condition of constrained optimization problems,linear regularity of sets,and convergence of iterative processes for generalized equations.