[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 …

[图书][B] Implicit functions and solution mappings

AL Dontchev, RT Rockafellar - 2009 - Springer
The preparation of this second edition of our book was triggered by a rush of fresh
developments leading to many interesting results. The text has significantly been enlarged …

[图书][B] Calculus without derivatives

JP Penot - 2013 - Springer
Calculus Without Derivatives expounds the foundations and recent advances in nonsmooth
analysis, a powerful compound of mathematical tools that obviates the usual smoothness …

Holder metric subregularity with applications to proximal point method

G Li, BS Mordukhovich - SIAM Journal on Optimization, 2012 - SIAM
This paper is mainly devoted to the study and applications of Hölder metric subregularity
(or metric q-subregularity of order q∈(0,1) for general set-valued mappings between infinite …

Proximal point algorithms on Hadamard manifolds: linear convergence and finite termination

J Wang, C Li, G Lopez, JC Yao - SIAM Journal on Optimization, 2016 - SIAM
In the present paper, we consider inexact proximal point algorithms for finding singular
points of multivalued vector fields on Hadamard manifolds. The rate of convergence is …

Metric subregularity of the convex subdifferential in Banach spaces

FJA Artacho, MH Geoffroy - arXiv preprint arXiv:1303.3654, 2013 - arxiv.org
In [2] we characterized in terms of a quadratic growth condition various metric regularity
properties of the subdifferential of a lower semicontinuous convex function acting in a Hilbert …

Higher-order metric subregularity and its applications

BS Mordukhovich, W Ouyang - Journal of Global Optimization, 2015 - Springer
This paper is devoted to the study of metric subregularity and strong subregularity of any
positive order qq for set-valued mappings in finite and infinite dimensions. While these …

Openness stability and implicit multifunction theorems: applications to variational systems

M Durea, R Strugariu - Nonlinear Analysis: Theory, Methods & Applications, 2012 - Elsevier
In this paper we aim to present two general results regarding, on one hand, the openness
stability of set-valued maps and, on the other hand, the metric regularity behavior of the …

Enhanced metric regularity and Lipschitzian properties of variational systems

FJ Aragón Artacho, BS Mordukhovich - Journal of Global Optimization, 2011 - Springer
This paper mainly concerns the study of a large class of variational systems governed by
parametric generalized equations, which encompass variational and hemivariational …

Stackelberg risk preference design

S Liu, Q Zhu - Mathematical Programming, 2024 - Springer
Risk measures are commonly used to capture the risk preferences of decision-makers
(DMs). The decisions of DMs can be nudged or manipulated when their risk preferences are …