AD Ioffe - Springer Monographs in Mathematics. Springer, Cham, 2017 - Springer
Variational Analysis of Regular Mappings Page 1 Springer Monographs in Mathematics Variational Analysis of Regular Mappings Alexander D. Ioffe Theory and Applications Page 2 …
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 …
Strong variational sufficiency is a newly proposed property, which turns out to be of great use in the convergence analysis of multiplier methods. However, what this property implies …
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 …
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 …
This paper aims at developing two versions of the generalized Newton method to compute local minimizers for nonsmooth problems of unconstrained and constrained optimization that …
M Benko, RT Rockafellar - Journal of Optimization Theory and Applications, 2024 - Springer
Much is known about when a locally optimal solution depends in a single-valued Lipschitz continuous way on the problem's parameters, including tilt perturbations. Much less is …
RT Rockafellar - Vietnam Journal of Mathematics, 2019 - Springer
It is well known that the subgradient mapping associated with a lower semicontinuous function is maximal monotone if and only if the function is convex, but what characterization …
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 …