Results 21 to 30 of about 527,853 (307)

Split general quasi-variational inequality problem [PDF]

open access: yes, 2013
In this paper, we introduce a split general quasi-variational inequality problem which is a natural extension of a split variational inequality problem, quasivariational and variational inequality problems in Hilbert spaces.
K. Kazmi
semanticscholar   +1 more source

Strong Convergence to a Solution of a Variational Inequality Problem in Banach Spaces

open access: yesJournal of Applied Mathematics, 2014
We consider the variational inequality problem for a family of operators of a nonempty closed convex subset of a 2-uniformly convex Banach space with a uniformly Gâteaux differentiable norm, into its dual space.
Yasunori Kimura, Kazuhide Nakajo
doaj   +1 more source

The uniqueness of the solution for the definite problem of a parabolic variational inequality

open access: yesJournal of Inequalities and Applications, 2016
The uniqueness of the solution for the definite problem of a parabolic variational inequality is proved. The problem comes from the study of the optimal exercise strategies for the perpetual executive stock options with unrestricted exercise in financial
Liping Song, Wanghui Yu
doaj   +1 more source

Tykhonov well-posedness of split problems

open access: yesJournal 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   +2 more
doaj   +1 more source

An Algorithm for Solving the Variational Inequality Problem Over the Fixed Point Set of a Quasi-Nonexpansive Operator in Euclidean Space [PDF]

open access: yes, 2013
This article is concerned with the variational inequality problem VIP(ℱ, Fix(T)): find such that for all z ∈ Fix(T), where T: ℝ n → ℝ n is quasi-nonexpansive, Fix(T) is its nonempty fixed point set, and ℱ: ℝ n → ℝ n is monotone. We propose, in particular,
A. Cegielski   +3 more
semanticscholar   +1 more source

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

open access: yesPan-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

Variational inequalities in critical-state problems [PDF]

open access: yesPhysica D: Nonlinear Phenomena, 2004
Similar evolutionary variational inequalities appear as convenient formulations for continuous quasistationary models for sandpile growth, formation of a network of lakes and rivers, magnetization of type-II superconductors, and elastoplastic deformations.
openaire   +3 more sources

Analysis and control of a nonlinear boundary value problem

open access: yesNonlinear 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

A QUASI-VARIATIONAL INEQUALITY PROBLEM ARISING IN THE MODELING OF GROWING SANDPILES [PDF]

open access: yes, 2012
Existence of a solution to the quasi-variational inequality problem arising in a model for sand surface evolution has been an open problem for a long time.
J. Barrett, L. Prigozhin
semanticscholar   +1 more source

A New System of Multivalued Mixed Variational Inequality Problem

open access: yesAbstract and Applied Analysis, 2014
We consider a new system of multivalued mixed variational inequality problem, which includes some known systems of variational inequalities as special cases.
Xi Li, Xue-song Li
doaj   +1 more source

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