A general approach to constructing iterative methods that solve variational inequalities is proposed. It is based on combining, modifying, and extending ideas contained in various Newton-like methods. Various algorithms ...

An iterative method for finding equilibrium points in the case of a smooth convex-concave function and a convex feasible set is proposed. This set is defined by smooth concave functions. The method is based on combining ...

In this paper, we describe a class of combined relaxation methods for the non strictly monotone nonlinear variational inequality problem, which involves a max-type convex function. This method is readily implementable and ...

A simple iterative method for solving variational inequalities with a set-valued, nonmonotone mapping and a convex feasible set is proposed. This set can be defined by nonlinear functions. The method is based on combining ...

A descent method with respect to the gap function is formulated and justified for the nonsmooth equilibrium problem. It uses the procedure of inexact linear search of the Armijo type. The proposed method converges under ...

© 2016, Allerton Press, Inc. We propose a method of bi-coordinate variations for optimal resource allocation problems, which involve simplex type constraints. It consists in making coordinate-wise steps together with special ...

© 2019, Springer Science+Business Media, LLC, part of Springer Nature. We suggest a conjugate subgradient type method without any line search for minimization of convex non-differentiable functions. Unlike the custom methods ...

© 2016 The Authors, published by EDP Sciences.We consider a problem of optimal resource allocation in a wireless communication network divided into zones (clusters). The network manager aims to distribute some homogeneous ...

We consider a combined relaxation method for variational inequalities in a Hilbert space setting. Methods of this class are known to solve finite-dimensional variational inequalities under mild monotonicity type assumptions, ...

A system of primal-dual variational inequalities, which appears in many equilibrium-type problems in economics and transport and communication systems, is considered. The mappings involved in the problem are assumed monotone, ...