Abstract
Using techniques of variational analysis and in terms of subdifferential, we study the generalized error bound defined by an admissible function, an interesting extension of the Hölder error bound and the usual error bound. With the help of a chain rule of subdifferential established in the paper, without the solvability assumption, we provide a sufficient condition for a nonconvex inequality to have a global generalized error bound. We also provide some sufficient and/or necessary conditions for an inequality to have Hölder error bounds. As applications, we consider well-posedness with respect to an admissible function.
Notes
No potential conflict of interest was reported by the authors.