Journal of Global Optimization

This paper presents general theoretical studies on asymptotic convergence rate (ACR) for finite dimensional optimization. Given the continuous problem function and discrete time stochastic optimization process, the ACR is the optimal constant for ...$\mathrm{}$$$${\mathrm{}}^{}$

We focus on nonconvex and non-smooth block optimization problems, where the smooth coupling part of the objective does not satisfy a global/partial Lipschitz gradient continuity assumption. A general alternating minimization algorithm is proposed ...

In the present paper, the strict feasibility of the polynomial complementarity problem (PCP) is investigated. To this end, as a generalization of the concept of S-tensor, a concept of S-tensor tuple is introduced. Some properties of S-tensor ...

In this paper, we give some existence theorems of solutions to $\mathrm{\Gamma }$-robust counterparts of gap function formulations of uncertain linear complementarity problems, in which $\mathrm{\Gamma }$ plays a role in adjusting the robustness of the model against the level of ...$\mathrm{}$$\mathrm{}$$\mathrm{}$

Many practical problems involve the optimization of computationally expensive blackbox functions. The computational cost resulting from expensive function evaluations considerably limits the number of true objective function evaluations allowed in ...

In this paper, the discrete approximation of two-stage stochastic variational inequalities has been investigated when the second stage problem has multiple solutions. First, a discrete approximation scheme is given by a series of models with the ...

In this paper, we propose a variable sample-size optimistic mirror descent algorithm under the Bregman distance for a class of stochastic mixed variational inequalities. Different from those conventional variable sample-size extragradient ...$\mathcal{}\mathrm{}$

This paper has two parts. In the mathematical part, we present two inexact versions of the proximal point method for solving quasi-equilibrium problems (QEP) in Hilbert spaces. Under mild assumptions, we prove that the methods find a solution to ...

We develop two “Nesterov’s accelerated” variants of the well-known extragradient method to approximate a solution of a co-hypomonotone inclusion constituted by the sum of two operators, where one is Lipschitz continuous and the other is possibly ...$\mathcal{}\left(\mathrm{},,\right)$

We address the problem of configuring a power distribution network with reliability and resilience objectives by satisfying the demands of the consumers and saturating each production source as little as possible. We consider power distribution ...$$$$$$$$$$$$$\mathrm{}$$$