A modified forward-backward splitting method for maximal monotone map**s
P Tseng - SIAM Journal on Control and Optimization, 2000 - SIAM
We consider the forward-backward splitting method for finding a zero of the sum of two
maximal monotone map**s. This method is known to converge when the inverse of the …
maximal monotone map**s. This method is known to converge when the inverse of the …
[HTML][HTML] Some recent advances in projection-type methods for variational inequalities
N **u, J Zhang - Journal of Computational and Applied Mathematics, 2003 - Elsevier
Projection-type methods are a class of simple methods for solving variational inequalities,
especially for complementarity problems. In this paper we review and summarize recent …
especially for complementarity problems. In this paper we review and summarize recent …
Some developments in general variational inequalities
MA Noor - Applied Mathematics and Computation, 2004 - Elsevier
General variational inequalities provide us with a unified, natural, novel and simple
framework to study a wide class of equilibrium problems arising in pure and applied …
framework to study a wide class of equilibrium problems arising in pure and applied …
Sublinear convergence rates of extragradient-type methods: A survey on classical and recent developments
Q Tran-Dinh - arxiv preprint arxiv:2303.17192, 2023 - arxiv.org
The extragradient (EG), introduced by GM Korpelevich in 1976, is a well-known method to
approximate solutions of saddle-point problems and their extensions such as variational …
approximate solutions of saddle-point problems and their extensions such as variational …
New trends in general variational inequalities
It is well known that general variational inequalities provide us with a unified, natural, novel
and simple framework to study a wide class of unrelated problems, which arise in pure and …
and simple framework to study a wide class of unrelated problems, which arise in pure and …
[BOOK][B] Combined relaxation methods for variational inequalities
I Konnov - 2012 - books.google.com
Variational inequalities proved to be a very useful and powerful tool for in vestigation and
solution of many equilibrium type problems in Economics, Engineering, Operations …
solution of many equilibrium type problems in Economics, Engineering, Operations …
Inertial projection and contraction algorithms for variational inequalities
In this article, we introduce an inertial projection and contraction algorithm by combining
inertial type algorithms with the projection and contraction algorithm for solving a variational …
inertial type algorithms with the projection and contraction algorithm for solving a variational …
Single projection method for pseudo-monotone variational inequality in Hilbert spaces
In this paper, a projection-type approximation method is introduced for solving a variational
inequality problem. The proposed method involves only one projection per iteration and the …
inequality problem. The proposed method involves only one projection per iteration and the …
A new look at smoothing Newton methods for nonlinear complementarity problems and box constrained variational inequalities
In this paper we take a new look at smoothing Newton methods for solving the nonlinear
complementarity problem (NCP) and the box constrained variational inequalities (BVI) …
complementarity problem (NCP) and the box constrained variational inequalities (BVI) …
A projection neural network and its application to constrained optimization problems
Y **a, H Leung, J Wang - IEEE Transactions on Circuits and …, 2002 - ieeexplore.ieee.org
In this paper, we present a recurrent neural network for solving the nonlinear projection
formulation. It is shown here that the proposed neural network is stable in the sense of …
formulation. It is shown here that the proposed neural network is stable in the sense of …