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 …

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 …

We demonstrate that the concept of strict proto-differentiability of subgradient mappings can
play a similar role as smoothness of the gradient mapping of a function in the study of …

The paper concerns the study of criticality of Lagrange multipliers in variational systems,
which has been recognized in both theoretical and numerical aspects of optimization and …

The presence of second-order smoothness for objective functions of optimization problems
can provide valuable information about their stability properties and help us design efficient …

Local superlinear convergence of the semismooth Newton method usually requires the
uniform invertibility of the generalized Jacobian matrix, eg BD-regularity or CD-regularity …

Understanding the role that subgradients play in various second-order variational analysis
constructions can help us uncover new properties of important classes of functions in …

In this paper, we discuss the theoretical characteristics and numerical methods for a class of
special piecewise quadratic optimization (SPQO). Theoretically, the existence, uniqueness …

Variational analysis provides the theoretical foundations and practical tools for constructing
optimization algorithms without being restricted to smooth or convex problems. We survey …

This paper aims to provide various applications for second-order variational analysis of
extended-real-valued piecewise linear functions recently obtained by the authors. We …