— In this paper, a numerical method (termed, E47 algorithm) based on linear variational inequalities (LVI) is presented and investigated to solve quadratic programming (QP) probl...
Yunong Zhang, Senbo Fu, Zhijun Zhang, Lin Xiao, Xu...
Abstract--Recurrent neural networks have become a prominent tool for optimizations including linear or nonlinear variational inequalities and programming, due to its regular mathem...
This paper deals with error estimates for space-time discretizations in the context of nary variational inequalities of rate-independent type. After introducing a general abstract ...
Alexander Mielke, Laetitia Paoli, Adrien Petrov, U...
Abstract. We study discontinuous Galerkin methods for solving elliptic variational inequalities, of both the first and second kinds. Analysis of numerous discontinuous Galerkin sch...
We present a new family of proximal point methods for solving monotone variational inequalities. Our algorithm has a relative error tolerance criterion in solving the proximal subp...
Abstract. This paper concerns second-order analysis for a remarkable class of variational systems in finite-dimensional and infinite-dimensional spaces, which is particularly imp...
In the extension of Newton’s method to generalized equations, applying to variational inequalities as a special case, convergence analysis relates to a corresponding implicit fun...
This paper proposes an additive Schwarz method for variational inequalities and their approximations by finite element methods. The Schwarz domain decomposition method is proved to...
Abstract. As shown by Thanh-Hao [11], the solution existence results established by Facchinei and Pang [5, Vol. I, Prop. 2.2.3 and Theorem 2.3.4] for variational inequalities in ge...
: In this paper we deal with the construction of gap functions for variational inequalities by using an approach which bases on the conjugate duality. Under certain assumptions we ...