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 …

The proximal gradient algorithm for minimizing the sum of a smooth and nonsmooth convex
function often converges linearly even without strong convexity. One common reason is that …

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 …

This paper sheds new light on several interrelated topics of second-order variational
analysis, both in finite and infinite-dimensional settings. We establish new relationships …

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 …

The paper concerns a systematic study of full stability in general optimization models
including its conventional Lipschitzian version as well as the new Hölderian one. We …

The paper is devoted to full stability of optimal solutions in general settings of finite-
dimensional optimization with applications to particular models of constrained optimization …

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 …

It is well known that the subgradient mapping associated with a lower semicontinuous
function is maximal monotone if and only if the function is convex, but what characterization …

The paper presents complete characterizations of Lipschitzian full stability of locally optimal
solutions to second-order cone programs (SOCPs) expressed entirely in terms of their initial …