[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 Analysis and Applications Page 2 Springer Monographs in Mathematics Editors-in-Chief …
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 …
Stability in affine optimal control problems constrained by semilinear elliptic partial differential equations
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 …
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 …
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) …
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 …
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 …
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 …
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 …
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 …
we call Robinson stability. Based on advanced tools of variational analysis and generalized …