457 research outputs found
On the Aubin property of a class of parameterized variational systems
The paper deals with a new sharp criterion ensuring the Aubin property of
solution maps to a class of parameterized variational systems. This class
includes parameter-dependent variational inequalities with non-polyhedral
constraint sets and also parameterized generalized equations with conic
constraints. The new criterion requires computation of directional limiting
coderivatives of the normal-cone mapping for the so-called critical directions.
The respective formulas have the form of a second-order chain rule and extend
the available calculus of directional limiting objects. The suggested procedure
is illustrated by means of examples.Comment: 20 pages, 1 figur
Metric Regularity of the Sum of Multifunctions and Applications
In this work, we use the theory of error bounds to study metric regularity of
the sum of two multifunctions, as well as some important properties of
variational systems. We use an approach based on the metric regularity of
epigraphical multifunctions. Our results subsume some recent results by Durea
and Strugariu.Comment: Submitted to JOTA 37 page
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