Results 31 to 40 of about 6,265,389 (289)

Multistep Hybrid Extragradient Method for Triple Hierarchical Variational Inequalities

Abstract and Applied Analysis, 2013
We consider a triple hierarchical variational inequality problem (THVIP), that is, a variational inequality problem defined over the set of solutions of another variational inequality problem which is defined over the intersection of the fixed point set ...
Zhao-Rong Kong, Lu-Chuan Ceng, Qamrul Hasan Ansari, Chin-Tzong Pang   +3 more
doaj   +1 more source

A New Gap Function for Vector Variational Inequalities with an Application

Journal of Applied Mathematics, 2013
We consider a vector variational inequality in a finite-dimensional space. A new gap function is proposed, and an equivalent optimization problem for the vector variational inequality is also provided.
Hui-qiang Ma, Nan-jing Huang, Meng Wu, Donal O'Regan   +3 more
doaj   +1 more source

An Iterative Algorithm for Solving Fixed Point Problems and Quasimonotone Variational Inequalities

Journal of Mathematics, 2022
In this paper, we survey a common problem of the fixed point problem and the quasimonotone variational inequality problem in Hilbert spaces. We suggest an iterative algorithm for finding a common element of the solution of a quasimonotone variational ...
Tzu-Chien Yin, Yan-Kuen Wu, Ching-Feng Wen   +2 more
doaj   +1 more source

Variational Inequality Problems with a Continuum of Solutions: Existence and Computation [PDF]

SIAM Journal on Control and Optimization, 2000
In this paper three sufficient conditions are provided under each of which an upper semicontinuous point-to-set mapping defined on an arbitrary polytope has a connected set of zero points that connect two distinct faces of the polytope. Furthermore, we obtain an existence theorem of a connected set of solutions to a nonlinear variational inequality ...
P. Jean-Jacques Herings, Dolf Talman, Zaifu Yang   +2 more
openaire   +9 more sources

Tykhonov well-posedness of split problems

Journal of Inequalities and Applications, 2020
In (J. Optim. Theory Appl. 183:139–157, 2019) we introduced and studied the concept of well-posedness in the sense of Tykhonov for abstract problems formulated on metric spaces. Our aim of this current paper is to extend the results in (J. Optim.
Qiao-yuan Shu, Mircea Sofonea, Yi-bin Xiao   +2 more
doaj   +1 more source

The Second-Order Differential Equation System with the Controlled Process for Variational Inequality with Constraints

Complexity, 2021
In this paper, the variational inequality with constraints can be viewed as an optimization problem. Using Lagrange function and projection operator, the equivalent operator equations for the variational inequality with constraints under the certain ...
Li Wang, Xingxu Chen, Juhe Sun
doaj   +1 more source

Deterministic Bi-Criteria Model for Solving Stochastic Mixed Vector Variational Inequality Problems

Mathematics, 2023
In this paper, we consider stochastic mixed vector variational inequality problems. Firstly, we present an equivalent form for the stochastic mixed vector variational inequality problems.
Meiju Luo, Menghan Du, Yue Zhang
doaj   +1 more source

Inverse problems for quasi-variational inequalities

Journal of Global Optimization, 2017
In this short note, our aim is to investigate the inverse problem of parameter identification in quasi-variational inequalities. We develop an abstract nonsmooth regularization approach that subsumes the total variation regularization and permits the identification of discontinuous parameters.
Akhtar A. Khan, Dumitru Motreanu
openaire   +4 more sources

Analysis and control of a nonlinear boundary value problem

Nonlinear Analysis, 2017
We consider a nonlinear two-dimensional boundary value problem which models the frictional contact of a bar with a rigid obstacle. The weak formulation of the problem is in the form of an elliptic variational inequality of the second kind.
Hadjer Hechaichi, Mircea Sofonea
doaj   +1 more source

Existence and Approximation of Solution for Vector Mixed Variational-Like Inequality Under Densely (η, f)-C-Pseudomonotone Mappings

Pan-American Journal of Mathematics, 2022
In this paper we study vector mixed variational inequality problem under (η, C)-pseudomonotonicity and densely (η, f)-C-pseudo-monotonocity in reflexive Banach space.
Sujeet Kumar, Sabyasachi Pani
doaj   +1 more source