[图书][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 …

Bilevel programming problems

S Dempe, V Kalashnikov, GA Pérez-Valdés… - Energy Systems …, 2015 - Springer
Bilevel optimization is a vital field of active research. Depending on its formulation it is part of
nonsmooth or nondifferentiable optimization, conic programming, optimization with …

Bilevel optimization: theory, algorithms, applications and a bibliography

S Dempe - Bilevel optimization: advances and next challenges, 2020 - Springer
Bilevel optimization problems are hierarchical optimization problems where the feasible
region of the so-called upper level problem is restricted by the graph of the solution set …

The bilevel programming problem: reformulations, constraint qualifications and optimality conditions

S Dempe, AB Zemkoho - Mathematical Programming, 2013 - Springer
We consider the bilevel programming problem and its optimal value and KKT one level
reformulations. The two reformulations are studied in a unified manner and compared in …

[图书][B] Uncertainty quantification in variational inequalities: theory, numerics, and applications

J Gwinner, B Jadamba, AA Khan, F Raciti - 2021 - taylorfrancis.com
Uncertainty Quantification (UQ) is an emerging and extremely active research discipline
which aims to quantitatively treat any uncertainty in applied models. The primary objective of …

Optimal control of the sweeping 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 sweeping/Moreau process while using …

Second-order subdifferential calculus with applications to tilt stability in optimization

BS Mordukhovich, RT Rockafellar - SIAM Journal on Optimization, 2012 - SIAM
This paper concerns the second-order generalized differentiation theory of variational
analysis and new applications of this theory to some problems of constrained optimization in …

[图书][B] Bilevel optimization: theory, algorithms and applications

S Dempe - 2018 - optimization-online.org
Bilevel optimization problems are hierarchical optimization problems where the feasible
region of the so-called upper level problem is restricted by the graph of the solution set …

Necessary optimality conditions in pessimistic bilevel programming

S Dempe, BS Mordukhovich, AB Zemkoho - Optimization, 2014 - Taylor & Francis
This article is devoted to the so-called pessimistic version of bilevel programming programs.
Minimization problems of this type are challenging to handle partly because the …

[图书][B] Approximation and optimization of discrete and differential inclusions

EN Mahmudov - 2011 - books.google.com
Optimal control theory has numerous applications in both science and engineering. This
book presents basic concepts and principles of mathematical programming in terms of set …