Solution continuity in variational conditions

نویسندگان

  • Stephen M. Robinson
  • Shu Lu
چکیده

We present some results about Lipschitzian behavior of solutions to variational conditions when the sets over which the conditions are posed, as well as the functions appearing in them, may vary. These results rely on calmness and inner semicontinuity, and we describe some conditions under which those conditions hold, especially when the sets involved in the variational conditions are convex and polyhedral. We then apply the results to find error bounds for solutions of a strongly monotone variational inequality in which both the constraining polyhedral multifunction and the monotone operator are perturbed.

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عنوان ژورنال:
  • J. Global Optimization

دوره 40  شماره 

صفحات  -

تاریخ انتشار 2008