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Asen L. Dontchev
Researcher at University of Michigan
Publications - 114
Citations - 5375
Asen L. Dontchev is an academic researcher from University of Michigan. The author has contributed to research in topics: Optimal control & Lipschitz continuity. The author has an hindex of 33, co-authored 113 publications receiving 4917 citations. Previous affiliations of Asen L. Dontchev include American Mathematical Society & National Science Foundation.
Papers
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Book
Implicit Functions and Solution Mappings
TL;DR: In this article, the authors provide a reference on the topic and a unified collection of a number of results which are currently scattered throughout the literature, including implicit mappings defined by relations other than equations.
Book
Well-Posed Optimization Problems
Asen L. Dontchev,Tullio Zolezzi +1 more
TL;DR: In this article, Hadamard and tykhonov well-posedness in optimal control and the calculus of variations were defined. But they were not defined in the context of mathematical programming.
Book
Implicit Functions and Solution Mappings: A View from Variational Analysis
TL;DR: In this paper, the authors define implicit functions defined implicitly by equations, and derive regularity properties of set-valued solution mappings through generalized derivatives, and apply them in Numerical Variational Analysis.
Journal ArticleDOI
Characterizations of Strong Regularity for Variational Inequalities over Polyhedral Convex Sets
TL;DR: Linear and nonlinear variational inequality problems over a polyhedral convex set are analyzed parametrically and Robinson's notion of strong regularity, as a criterion for the solution set to be a singleton depending Lipschitz continuously on the parameters, is characterized in terms of a new ``critical face'' condition.
Journal ArticleDOI
Difference methods for differential inclusions: a survey
Asen L. Dontchev,Frank Lempio +1 more
TL;DR: The main objective of this survey is to study convergence properties of difference methods applied to differential inclusions to present a number of results scattered in the literature.