43 citations · 149 across the 103 of their papers we have counts for
12 papers · 1 filter
Optimization of Fully Controlled Sweeping Processes
Tan H. Cao, Giovanni Colombo, Boris S. Mordukhovich +1
The paper is devoted to deriving necessary optimality conditions in a general optimal control problem for dynamical systems governed by controlled sweeping processes with hard-cons…
A Globally Convergent Proximal Newton-Type Method in Nonsmooth Convex Optimization
Boris S. Mordukhovich, Xiaoming Yuan, Shangzhi Zeng +1
The paper proposes and justifies a new algorithm of the proximal Newton type to solve a broad class of nonsmooth composite convex optimization problems without strong convexity ass…
Generalized Sequential Differential Calculus for Expected-Integral Functionals
Boris S. Mordukhovich, Pedro Pérez-Aros
Motivated by applications to stochastic programming, we introduce and study the expected-integral functionals, which are mappings given in an integral form depending on two variabl…
A Generalized Newton Method for Subgradient Systems
Pham Duy Khanh, Boris Mordukhovich, Vo Thanh Phat
This paper proposes and develops a new Newton-type algorithm to solve subdifferential inclusions defined by subgradients of extended-real-valued prox-regular functions. The propose…
Variational analysis in normed Spaces with applications to constrained optimization
Ashkan Mohammadi, Boris Mordukhovich
This paper is devoted to developing and applications of a generalized differential theory of variational analysis that allows us to work in incomplete normed spaces, without employ…
Discrete Approximations and Optimal Control of Nonsmooth Perturbed Sweeping Processes
Boris S. Mordukhovich, Dao Nguyen
The main goal of this paper is developing the method of discrete approximations to derive necessary optimality conditions for a class of constrained sweeping processes with nonsmoo…