[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 of regular mappings

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 …

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 …

Strong variational sufficiency for nonlinear semidefinite programming and its implications

S Wang, C Ding, Y Zhang, X Zhao - SIAM Journal on Optimization, 2023 - SIAM
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 …

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 …

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 …

Generalized Newton algorithms for tilt-stable minimizers in nonsmooth optimization

BS Mordukhovich, ME Sarabi - SIAM Journal on Optimization, 2021 - SIAM
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 …

Primal–Dual Stability in Local Optimality

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 …

Variational convexity and the local monotonicity of subgradient mappings

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 …

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 …