Control and Cybernetics Metric Regularity under Approximations *

نویسندگان

  • Asen L. Dontchev
  • Vladimir M. Veliov
چکیده

In this paper we show that metric regularity and strong metric regularity of a set-valued mapping imply convergence of inexact iterative methods for solving a generalized equation associated with this mapping. To accomplish this, we first focus on the question how these properties are preserved under changes of the mapping and the reference point. As an application, we consider discrete approximations in optimal control.

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تاریخ انتشار 2010