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 …

This paper shows that error bounds can be used as effective tools for deriving complexity
results for first-order descent methods in convex minimization. In a first stage, this objective …

A local convergence result for an abstract descent method is proved. The sequence of
iterates is attracted by a local (or global) minimum, stays in its neighborhood, and converges …

In this paper, we study the complexity of the forward–backward splitting method with Beck–
Teboulle's line search for solving convex optimization problems, where the objective …

A popular and classical method for finding the best rank one approximation of a real tensor
is the higher order power method (HOPM). It is known in the literature that the iterative …

In this paper we introduce the concept of modulus of regularity as a tool to analyze the
speed of convergence, including the linear convergence and finite termination, for classes of …

This paper focuses on a class of zero-norm composite optimization problems. For this class
of nonconvex nonsmooth problems, we establish the Kurdyka–Łojasiewicz property of …

We first provide an inner-approximation hierarchy described by a sum-of-squares (SOS)
constraint for the copositive (COP) cone over a general symmetric cone. The hierarchy is a …

We propose a unifying general framework of quantitative primal and dual sufficient and
necessary error bound conditions covering linear and nonlinear, local and global settings …

This paper is devoted to a generalized time-dependent variational-hemivariational
inequality with history-dependent operators. First, we introduce a new concept of gap …