Results 171 to 180 of about 4,400,793 (233)

Two inertial subgradient extragradient algorithms for variational inequalities with fixed-point constraints

, 2020
This article proposes two general inertial algorithms with line-search process for finding a solution of a variational inequality problem with fixed-point constraints via a subgradient-extragradient approach.
L. Ceng, A. Petruşel, X. Qin, Jen-Chih Yao   +3 more
semanticscholar   +1 more source

An introduction to variational inequalities and their applications

, 1980
Preface to the SIAM edition Preface Glossary of notations Introduction Part I. Variational Inequalities in Rn Part II. Variational Inequalities in Hilbert Space Part III. Variational Inequalities for Monotone Operators Part IV.
D. Kinderlehrer, G. Stampacchia
semanticscholar   +1 more source

Golden ratio algorithms for variational inequalities

Mathematical programming, 2018
The paper presents a fully adaptive algorithm for monotone variational inequalities. In each iteration the method uses two previous iterates for an approximation of the local Lipschitz constant without running a linesearch.
Yura Malitsky
semanticscholar   +1 more source

Modified subgradient extragradient algorithms for solving monotone variational inequalities

Optimization, 2018
In this paper, we introduce two new algorithms for solving classical variational inequalities problem with Lipschitz continuous and monotone mapping in real Hilbert space.
Jun Yang, Hongwei Liu, Zexian Liu
semanticscholar   +1 more source

On Quasimonotone Variational Inequalities

Journal of Optimization Theory and Applications, 1998
In this paper, we study variational inequalities with multivalued mappings. By employing Fan's lemma, we establish the existence result for the dual formulation of variational inequalities with semi-strictly quasimonotone mappings. We also show that similar results for quasimonotone variational inequalities do not hold.
openaire   +4 more sources

On Noncoercive Variational Inequalities

SIAM Journal on Numerical Analysis, 2014
We consider variational inequalities with different trial and test spaces and a possibly noncoercive bilinear form. Well-posedness is shown under general conditions that are, e.g., valid for the space-time variational formulation of parabolic variational inequalities.
Glas, Silke, Urban, Karsten
openaire   +2 more sources

On Generalized Variational Inequalities

2007
In this paper we illustrate the connections between generalized variational inequalities (GVI) and other mathematical models: optimization, complementarity, inclusions, dynamical systems. In particular, we analyse relationships between existence theorems of solutions of GVI and existence theorems of equilibrium points of inclusions and projected ...
PAPPALARDO, MASSIMO, PANICUCCI B.
openaire   +3 more sources

Nonsmooth variational inequalities on Hadamard manifolds

Applicable Analysis, 2018
Nonsmooth variational inequality problem (NVIP) and Minty nonsmooth variational inequality problem (MNVIP) in terms of a bifunction are considered in the setting of Hadamard manifolds.
Q. Ansari, Monirul Islam, Jen-Chih Yao
semanticscholar   +1 more source

An Inertial Projection Neural Network for Solving Variational Inequalities

IEEE Transactions on Cybernetics, 2017
Recently, projection neural network (PNN) was proposed for solving monotone variational inequalities (VIs) and related convex optimization problems.
Xing He, Tingwen Huang, Junzhi Yu, Chuandong Li, Chaojie Li   +4 more
semanticscholar   +1 more source

VARIATIONAL INEQUALITIES IN COURNOT OLIGOPOLY

International Game Theory Review, 2007
Consider G = (X1,…,XM,g1,…,gM) an M-player game in strategic form, where the set Xi is an interval of real numbers and the payoff functions gi are differentiable with respect to the related variable xi ∈ Xi. If they are also concave, with respect to the related variable, then it is possible to associate to the game G a variational inequality which ...
C. A. PENSAVALLE, G. PIERI
openaire   +5 more sources