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- Publisher
- Springer Journals
- Copyright
- Copyright © 2016 by Springer-Verlag Berlin Heidelberg and Mathematical Optimization Society
- Subject
- Mathematics; Calculus of Variations and Optimal Control; Optimization; Mathematics of Computing; Numerical Analysis; Combinatorics; Theoretical, Mathematical and Computational Physics; Mathematical Methods in Physics
- ISSN
- 0025-5610
- eISSN
- 1436-4646
- DOI
- 10.1007/s10107-016-1077-4
- Publisher site
- See Article on Publisher Site
Abstract
The results on regularity behavior of solutions to variational inequalities over polyhedral sets proved in a series of papers by Robinson, Ralph and Dontchev-Rockafellar in the 90s has long become classics of variational analysis. But the available proofs are very complicated and practically do not use techniques of variational analysis. The only exception is the proof by Dontchev and Rockafellar of their “critical face” regularity criterion. In the paper we offer a different approach completely based on polyhedral geometry and a few basic principles of metric regularity theory. It leads to new proofs, that look simpler and shorter, and in addition gives some clarifying geometrical information.
Journal
Mathematical Programming – Springer Journals
Published: Oct 19, 2016