2015/08/26 by A. D. Ioffe, Alexander D. Ioffe, Ioffe, Alexander D.
Computer Science · Engineering · Mathematics · #Contact Mechanics and Variational Inequalities #FOS: Mathematics #Optimization and Control (math.OC) #Optimization and Variational Analysis #Topology Optimization in Engineering #math.OC
paper · pdf · doi:10.48550/arxiv.1508.06607
openalex publication_date 2015/08/26 · arxiv created 2015/08/30 · arxiv updated 2015/09/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The regularity theory for variational inequalities over polyhedral sets developed in a series of papers by Robinson, Ralph and Dontchev-Rockafellar in the 90s has long become classics of variational analysis. But in the available proofs of almost all main results, fairly nontrivial as they are, techniques of variational analysis do not play a significant part. In the paper we develop a new approach that allows to obtain some generalizations of the the mentioned results without invoking anything beyond elementary geometry of convex polyhedra and some basic facts of the theory of metric regularity.