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On the stability of the functional optimization problem
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This article is published in Ussr Computational Mathematics and Mathematical Physics.The article was published on 1966-01-01. It has received 254 citations till now. The article focuses on the topics: Continuous optimization & Test functions for optimization.read more
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Modern Regularization Methods for Inverse Problems
Martin Benning,Martin Burger +1 more
TL;DR: In this article, the authors provide a reasonably comprehensive overview of this shift towards modern nonlinear regularization methods, including their analysis, applications and issues for future research, since they have attracted much recent interest and link to other fields, such as image processing and compressed sensing.
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A characterization of tyhonov well-posedness for minimum problems, with applications to variational inequalities (∗)
TL;DR: In this article, the authors give a characterization of Tyhonov well-posedness for the problem of minimizing a convex lower-semieontinuous function f on a closed convex set K.
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Generalized Levitin--Polyak Well-Posedness in Constrained Optimization
TL;DR: This paper considers Levitin--Polyak-type well-posedness for a general constrained optimization problem and introduces generalized and strongly generalized LevitIn-- Polyak well-posingness.
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Well-posedness for Optimization Problems with Constraints defined by Variational Inequalities having a unique solution
TL;DR: This work introduces various notions of well-posedness for a family of variational inequalities and for an optimization problem with constraints defined byVariational inequalities having a unique solution and presents an application to an exact penalty method.
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Convex optimization and the epi-distance topology
Gerald Beer,Roberto Lucchetti +1 more
TL;DR: In this article, it was shown that well-posedness of convex functions on a Banach space X is the minimal condition that guarantees strong convergence of approximate minima of T-approximating functions to the minimum of f.