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A self-adaptive stochastic subgradient extragradient algorithm for the stochastic pseudomonotone variational inequality problem with application
In this paper, we introduce a stochastic self-adaptive subgradient extragradient approximation algorithm for solving the stochastic pseudomonotone...
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Comments on the Solutions Set of Equilibrium Problems Governed by Topological Pseudomonotone Bifunctions
A recent assertion given by Sadeqi, I., Salehi Paydar, M., in: A comparative study of Ky Fan hemicontinuity and Brezis pseudomonotonicity of map**s...
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Dynamic frictional thermoviscoelastic Gao beams
In this work, we provide mathematical and numerical analyses for a thermoviscoelastic nonlinear beam model with Coulomb friction dry law. Since the...
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Minimization arguments in analysis of variational–hemivariational inequalities
In this paper, an alternative approach is provided in the well-posedness analysis of elliptic variational–hemivariational inequalities in real...
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Double phase problems with variable growth and convection for the Baouendi–Grushin operator
In this paper we study a class of quasilinear elliptic equations with double phase energy and reaction term depending on the gradient. The main...
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Qualitative analysis of solutions of obstacle elliptic inclusion problem with fractional Laplacian
In this paper, we study an elliptic obstacle problem with a generalized fractional Laplacian and a multivalued operator which is described by a...
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A class of elliptic mixed boundary value problems with (p, q)-Laplacian: existence, comparison and optimal control
The paper deals with two nonlinear elliptic equations with ( p , q )-Laplacian and the Dirichlet–Neumann–Dirichlet (DND) boundary conditions, and...
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Interval Variational Inequalities
In this article, weKumar, Gourav introduceGhosh, Debdas interval variational inequalities and establish a relation between their solution sets. We...
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Convergence analysis for elliptic quasivariational inequalities
We deal with a class of elliptic quasivariational inequalities with constraints in a reflexive Banach space. We use arguments of monotonicity,...
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An Alternative Extragradient Method for a Vector Quasi-Equilibrium Problem to a Vector Generalized Nash Equilibrium Problem
In this paper, we consider a problem related to a generalized Nash equilibrium problem, known as, a quasi-equilibrium problem. Generally, such...
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On Monotone Maps: Semidifferentiable Case
In this paper, we define the concepts of monotonicity and generalized monotonicity for semidifferentiable maps. Further, we present the...
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Random gradient-free method for online distributed optimization with strongly pseudoconvex cost functions
This paper focuses on the online distributed optimization problem based on multi-agent systems. In this problem, each agent can only access its own...
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Error bound analysis of the D-gap functions for a class of elliptic variational inequalities with applications to frictional contact mechanics
This paper is devoted to the study of the difference gap (for brevity, D-gap) function and global error bounds for a class of elliptic variational...
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An effective iterative projection method for variational inequalities in Hilbert spaces
In this paper, a projection-type method is proposed for solving a variational inequality problem involving a monotone and Lipschitz continuous...
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A Tykhonov-type well-posedness concept for elliptic hemivariational inequalities
In this paper, we introduce a new Tykhonov-type well-posedness concept for elliptic hemivariational inequalities, governed by an approximating...
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A class of fractional differential hemivariational inequalities with application to contact problem
In this paper, we study a class of generalized differential hemivariational inequalities of parabolic type involving the time fractional order...
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Existence of Entropy Solutions for Anisotropic Elliptic Nonlinear Problem in Weighted Sobolev Space
In this paper, we will study the existence of an entropy solution to the unilateral problem for a class of nonlinear anisotropic elliptic equation,...
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Homogenization of Friction in a 2D Linearly Elastic Contact Problem
Contact problems with Coulomb friction in linear elasticity are notoriously difficult, and their mathematical analysis is still largely incomplete....
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Evolutionary variational–hemivariational inequalities with applications to dynamic viscoelastic contact mechanics
The purpose of this work is to introduce and investigate a complicated variational–hemivariational inequality of parabolic type with...