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 …
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 …
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 …
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) …
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 …
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 …
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 …
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 …
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 …