[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 …
[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 …
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 …
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 …
(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
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 …
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 …
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 …
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 …
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 …
parametric generalized equations, which encompass variational and hemivariational …