[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] Equilibrium problems and applications

G Kassay, V Rădulescu - 2018 - books.google.com
Equilibrium Problems and Applications develops a unified variational approach to deal with
single-valued, set-valued and quasi-equilibrium problems. The authors promote original …

Variational and strong variational convexity in infinite-dimensional variational analysis

PD Khanh, VVH Khoa, BS Mordukhovich… - SIAM Journal on …, 2024 - SIAM
This paper is devoted to a systematic study and characterizations of the fundamental notions
of variational and strong variational convexity for lower semicontinuous functions. While …

Globally convergent coderivative-based generalized Newton methods in nonsmooth optimization

PD Khanh, BS Mordukhovich, VT Phat… - Mathematical …, 2024 - Springer
This paper proposes and justifies two globally convergent Newton-type methods to solve
unconstrained and constrained problems of nonsmooth optimization by using tools of …

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 …

A generalized Newton method for subgradient systems

P Duy Khanh, B Mordukhovich… - … of Operations Research, 2023 - pubsonline.informs.org
This paper proposes and develops a new Newton-type algorithm to solve subdifferential
inclusions defined by subgradients of extended real-valued prox-regular functions. The …

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 …

Local maximal monotonicity in variational analysis and optimization

PD Khanh, VVH Khoa, BS Mordukhovich… - arXiv preprint arXiv …, 2023 - arxiv.org
The paper is devoted to a systematic study and characterizations of notions of local maximal
monotonicity and their strong counterparts for set-valued operators that appear in variational …

Variational and quasi-variational inequalities under local reproducibility: solution concept and applications

D Aussel, P Chaipunya - Journal of Optimization Theory and Applications, 2024 - Springer
Local solutions for variational and quasi-variational inequalities are usually the best type of
solutions that could practically be obtained when in lack of convexity or else when available …

Second-order analysis of piecewise linear functions with applications to optimization and stability

BS Mordukhovich, ME Sarabi - Journal of Optimization Theory and …, 2016 - Springer
This paper is devoted to second-order variational analysis of a rather broad class of
extended-real-valued piecewise liner functions and their applications to various issues of …