[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 …
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 …
professionals, educators, researchers, and students. The series focuses on new and …
Variational and strong variational convexity in infinite-dimensional variational analysis
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 …
of variational and strong variational convexity for lower semicontinuous functions. While …
Inexact proximal methods for weakly convex functions
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 …
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
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 …
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 …
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 …
smooth functions with Lipschitzian gradients, ie for problems of C 1, 1 optimization. We show …
Local maximal monotonicity in variational analysis and optimization
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 …
monotonicity and their strong counterparts for set-valued operators that appear in variational …
Basic convex analysis in metric spaces with bounded curvature
Differentiable structure ensures that many of the basics of classical convex analysis extend
naturally from Euclidean space to Riemannian manifolds. Without such structure, however …
naturally from Euclidean space to Riemannian manifolds. Without such structure, however …
Optimality conditions and sensitivity analysis in parametric nonconvex minimax programming
In this paper, we perform optimality conditions and sensitivity analysis for parametric
nonconvex minimax programming problems. Our aim is to study the necessary optimality …
nonconvex minimax programming problems. Our aim is to study the necessary optimality …