[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 …

Variational convexity of functions and variational sufficiency in optimization

PD Khanh, BS Mordukhovich, VT Phat - SIAM Journal on Optimization, 2023 - SIAM
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 …

Stability in affine optimal control problems constrained by semilinear elliptic partial differential equations

AD Corella, N Jork, V Veliov - ESAIM: Control, Optimisation and …, 2022 - esaim-cocv.org
This paper investigates stability properties of affine optimal control problems constrained by
semilinear elliptic partial differential equations. This is done by studying the so called metric …

Complete characterizations of tilt stability in nonlinear programming under weakest qualification conditions

H Gfrerer, BS Mordukhovich - SIAM Journal on Optimization, 2015 - SIAM
This paper is devoted to the study of tilt stability of local minimizers for classical nonlinear
programs with equality and inequality constraints in finite dimensions described by twice …

[HTML][HTML] On (local) analysis of multifunctions via subspaces contained in graphs of generalized derivatives

H Gfrerer, JV Outrata - Journal of Mathematical Analysis and Applications, 2022 - Elsevier
The paper deals with a comprehensive theory of mappings, whose local behavior can be
described by means of linear subspaces, contained in the graphs of two (primal and dual) …

Full stability in finite-dimensional optimization

BS Mordukhovich, TTA Nghia… - Mathematics of …, 2015 - pubsonline.informs.org
The paper is devoted to full stability of optimal solutions in general settings of finite-
dimensional optimization with applications to particular models of constrained optimization …

Critical multipliers in variational systems via second-order generalized differentiation

BS Mordukhovich, ME Sarabi - Mathematical Programming, 2018 - Springer
In this paper we introduce the notions of critical and noncritical multipliers for variational
systems and extend to a general framework the corresponding notions by Izmailov and …

Stability for bang-bang control problems of partial differential equations

NT Qui, D Wachsmuth - Optimization, 2018 - Taylor & Francis
In this paper, we investigate solution stability for control problems of partial differential
equations with the cost functional not involving the usual quadratic term for the control. We …

Stability for semilinear parabolic optimal control problems with respect to initial data

E Casas, F Tröltzsch - Applied Mathematics & Optimization, 2022 - Springer
A distributed optimal control problem for a semilinear parabolic partial differential equation is
investigated. The stability of locally optimal solutions with respect to perturbations of the …

Robinson stability of parametric constraint systems via variational analysis

H Gfrerer, BS Mordukhovich - SIAM Journal on Optimization, 2017 - SIAM
This paper investigates a well-posedness property of parametric constraint systems which
we call Robinson stability. Based on advanced tools of variational analysis and generalized …