Directional K-epiderivatives and error bound

Abstract

We give a sufficient condition for a function depending on a parameter and defined on a Banach space to have an error bound; such a result is given in terms of directional K-epiderivatives and does not require any particular property of the space.

Keywords:

• parametric inequality system
• generalized epiderivative
• error bound

AMS Subject Classifications::

• 49J52
• 90C26
• 90C31