77 citations · 112 across the 11 of their papers we have counts for
12 papers
A general scheme for separably reducible properties
M. Fabian, A. Ioffe, J. P. Revalski
We propose a general scheme for studying separably reducible properties in metric spaces and then apply it to obtain separable determinacy of Lipschitz property and the separable d…
Towards the theory of strong minimum. A view from variational analysis
A. D. Ioffe
The key element of the approach to the theory of necessary conditions in optimal control discussed in the paper is reduction of the original constrained problem to unconstrained mi…
Nonsmooth optimization using Taylor-like models: error bounds, convergence, and termination criteria
Dmitriy Drusvyatskiy, Alexander D. Ioffe, Adrian S. Lewis
We consider optimization algorithms that successively minimize simple Taylor-like models of the objective function. Methods of Gauss-Newton type for minimizing the composition of a…
Polyhedrality,Complementarity and Regularity with Applications to Variational Inequalities over Polyhedral Sets
Alexander D. Ioffe
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 class…
Metric Regularity. Theory and Applications - a survey
A. D. Ioffe
Metric regularity has emerged during last 2-3 decades as one of the central concepts of variational analysis. The roots of this concept go back to a circle of fundamental regularit…
Generic minimizing behavior in semi-algebraic optimization
D. Drusvyatskiy, A. D. Ioffe, A. S. Lewis
We present a theorem of Sard type for semi-algebraic set-valued mappings whose graphs have dimension no larger than that of their range space: the inverse of such a mapping admits…