[图书][B] Variational methods in partially ordered spaces

A Göpfert, H Riahi, C Tammer, C Zalinescu - 2003 - Springer
CMS/CAIMS Books in Mathematics is a collection of monographs and graduatelevel
textbooks published in cooperation jointly with the Canadian Mathematical Society-Societé …

[图书][B] An easy path to convex analysis and applications

BS Mordukhovich, NM Nam - 2014 - Springer
This series includes titles in applied mathematics and statistics for cross-disciplinary STEM
professionals, educators, researchers, and students. The series focuses on new and …

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 …

Inexact proximal methods for weakly convex functions

PD Khanh, B Mordukhovich, VT Phat… - arXiv preprint arXiv …, 2023 - arxiv.org
This paper proposes and develops inexact proximal methods for finding stationary points of
the sum of a smooth function and a nonsmooth weakly convex one, where an error is …

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 …

[图书][B] Fundamentals of convex analysis and optimization

R Correa, A Hantoute, MA López - 2023 - Springer
This book provides a novel approach to convex analysis and convex optimization, based on
subdifferential calculus of pointwise suprema of convex functions. The main goal in writing …

A new inexact gradient descent method with applications to nonsmooth convex optimization

PD Khanh, BS Mordukhovich… - Optimization Methods and …, 2024 - Taylor & Francis
The paper proposes and develops a novel inexact gradient method (IGD) for minimizing C 1-
smooth functions with Lipschitzian gradients, ie for problems of C 1, 1 optimization. We show …

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 …

Basic convex analysis in metric spaces with bounded curvature

AS Lewis, G López-Acedo, A Nicolae - SIAM Journal on Optimization, 2024 - SIAM
Differentiable structure ensures that many of the basics of classical convex analysis extend
naturally from Euclidean space to Riemannian manifolds. Without such structure, however …

Optimality conditions and sensitivity analysis in parametric nonconvex minimax programming

DTV An, NH Hung, DT Ngoan, NV Tuyen - Journal of Global Optimization, 2024 - Springer
In this paper, we perform optimality conditions and sensitivity analysis for parametric
nonconvex minimax programming problems. Our aim is to study the necessary optimality …