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[CARTE][B] Variational analysis and applications
BS Mordukhovich - 2018 - Springer
Boris S. Mordukhovich Page 1 Springer Monographs in Mathematics Boris S. Mordukhovich
Variational Analysis and Applications Page 2 Springer Monographs in Mathematics Editors-in-Chief …
Variational Analysis and Applications Page 2 Springer Monographs in Mathematics Editors-in-Chief …
Error bounds, quadratic growth, and linear convergence of proximal methods
The proximal gradient algorithm for minimizing the sum of a smooth and nonsmooth convex
function often converges linearly even without strong convexity. One common reason is that …
function often converges linearly even without strong convexity. One common reason is that …
Optimal control of the swee** process over polyhedral controlled sets
G Colombo, R Henrion, DH Nguyen… - Journal of Differential …, 2016 - Elsevier
The paper addresses a new class of optimal control problems governed by the dissipative
and discontinuous differential inclusion of the swee**/Moreau process while using …
and discontinuous differential inclusion of the swee**/Moreau process while using …
A collective neurodynamic penalty approach to nonconvex distributed constrained optimization
A nonconvex distributed optimization problem involving nonconvex objective functions and
inequality constraints within an undirected multi-agent network is considered. Each agent …
inequality constraints within an undirected multi-agent network is considered. Each agent …
Variational and strong variational convexity in infinite-dimensional variational analysis
This paper is devoted to a systematic study and characterizations of the fundamental notions
of variational and strong variational convexity for lower semicontinuous functions. While …
of variational and strong variational convexity for lower semicontinuous functions. While …
Optimal control of a nonconvex perturbed swee** process
The paper concerns optimal control of discontinuous differential inclusions of the normal
cone type governed by a generalized version of the Moreau swee** process with control …
cone type governed by a generalized version of the Moreau swee** process with control …
Tilt stability, uniform quadratic growth, and strong metric regularity of the subdifferential
Tilt Stability, Uniform Quadratic Growth, and Strong Metric Regularity of the Subdifferential Page
1 Copyright © by SIAM. Unauthorized reproduction of this article is prohibited. SIAM J. OPTIM. c …
1 Copyright © by SIAM. Unauthorized reproduction of this article is prohibited. SIAM J. OPTIM. c …
Second-order growth, tilt stability, and metric regularity of the subdifferential
This paper sheds new light on several interrelated topics of second-order variational
analysis, both in finite and infinite-dimensional settings. We establish new relationships …
analysis, both in finite and infinite-dimensional settings. We establish new relationships …
Globally convergent coderivative-based generalized Newton methods in nonsmooth optimization
This paper proposes and justifies two globally convergent Newton-type methods to solve
unconstrained and constrained problems of nonsmooth optimization by using tools of …
unconstrained and constrained problems of nonsmooth optimization by using tools of …
Variational convexity of functions and variational sufficiency in optimization
The paper is devoted to the study, characterizations, and applications of variational
convexity of functions, the property that has been recently introduced by Rockafellar together …
convexity of functions, the property that has been recently introduced by Rockafellar together …