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 the past two decades, convex analysis and optimization have been developed in
Hadamard spaces. This book represents a first attempt to give a systematic account on the …

We propose an inertial Douglas–Rachford splitting algorithm for finding the set of zeros of
the sum of two maximally monotone operators in Hilbert spaces and investigate its …

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

The geometric median as well as the Fréchet mean of points in a Hadamard space are
important in both theory and applications. Surprisingly, no algorithms for their computation …

In this paper we propose two different primal-dual splitting algorithms for solving inclusions
involving mixtures of composite and parallel-sum type monotone operators which rely on an …

This chapter presents a survey on primal–dual splitting methods for solving monotone
inclusion problems involving maximally monotone operators, linear compositions of parallel …

In this paper we propose a product space reformulation to transform monotone inclusions
described by finitely many operators on a Hilbert space into equivalent two-operator …

The problem of minimizing a continuously differentiable convex function over an intersection
of closed convex sets is ubiquitous in applied mathematics. It is particularly interesting when …

We define the minimal time function associated with a collection of sets which is motivated
by the optimal time problem for nonconvex constant dynamics. We first provide various basic …