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Differential History-Dependent Variational-Hemivariational Inequality with Application to a Dynamic Contact Problem
This paper is dedicated to the discussion of a new dynamical system involving a history-dependent variational-hemivariational inequality coupled with...
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A self adaptive inertial algorithm for solving variational inequalities over the solution set of the split variational inequality problem
The purpose of this paper is to investigate a new inertial self-adaptive iterative algorithm for solving variational inequalities over the solution...
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A novel inertial Tseng’s method for solving generalized variational inequality problem
In this paper, we introduce a new map** called h -pseudomonotone map**, which is a generalization of various monotone map**s in the literature....
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The forward–backward splitting method for finding the minimum like-norm solution of the mixed variational inequality problem
We consider a general class of convex optimization problems in which one seeks to minimize a strongly convex function over a closed and convex set,...
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Strongly convergent inertial projection and contraction methods for split variational inequality problem
In the literature, several methods have been proposed for solving the split variational inequality problems and most of these methods require that...
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Well-posedness of generalized vector variational inequality problem via topological approach
In this paper, we discuss well-posedness for a generalized vector variational inequality problem (GVVIP, in short) in the framework of topological...
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A Strong Convergence Result for Solving Split Variational Inequality Problem
The purpose of this work is to investigate a new projection and contraction algorithm for solving split variational inequality problem. The strong...
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Solvability of generalized vector bifunction variational inequality problem
In this paper, we discuss the solution of generalized vector bifunction variational inequalities of Stampachhia and Minty types with the concept of...
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Topological Variants of Vector Variational Inequality Problem
In this paper, we provide a couple of solutions for the vector variational inequality problem, adopting a topological approach. We consider here a...
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Generalized vector quasi-variational-like inequality problem: a new approach
In this paper, we are devoted to investigating the existence of the Generalized Vector Quasi-Variational-Like Inequality Problem by using a new...
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Variational inequality over the set of common solutions of a system of bilevel variational inequality problem with applications
In this paper, we study variational inequality problem over the set of common solutions of a system of bilevel variational inequality problem. We...
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A modified inertial Tseng technique of Bilevel variational inequality problem with application to image processing
In this paper, we propose and study a new modified Tseng inertial iterative technique for solving Bilevel quasimonotone Variational Inequality...
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A regularization method for solving the G-variational inequality problem and fixed-point problems in Hilbert spaces endowed with graphs
This article considers and investigates a variational inequality problem and fixed-point problems in real Hilbert spaces endowed with graphs. A...
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Inertial iterative algorithms for common solution of variational inequality and system of variational inclusion problems
In this paper, we aim to consider a general variational inequality with a monotone operator and a system of nonlinear variational inclusion problems...
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Mann-type extragradient algorithm for solving variational inequality and fixed point problems
This paper aims to propose a double inertial Mann-type extragradient algorithm using non-monotonic step size and establish a weak convergence result...
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A Quasi-Variational-Hemivariational Inequality for Incompressible Navier-Stokes System with Bingham Fluid
In this paper we examine a class of elliptic quasi-variational inequalities, which involve a constraint set and a set-valued map. First, we establish...
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Mann-Type Inertial Projection and Contraction Method for Solving Split Pseudomonotone Variational Inequality Problem with Multiple Output Sets
In this paper, we study the concept of split variational inequality problem with multiple output sets when the cost operators are pseudomonotone and...
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Topological Approaches for Vector Variational Inequality Problems
In this chapter, we discuss several variants of variational inequality problems that exist in the literature. We also discuss solutions to the vector...
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An Iterative Method for Solving the Multiple-Sets Split Variational Inequality Problem
In this work, we introduce a new algorithm for finding the minimum-norm solution of the multiple-sets split variational inequality problem in real...
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Variational Inequality Problem Involving Multivalued Nonexpansive Map** in CAT(0) Spaces
In this paper, we introduce a new type of variational inequality problem (VIP) involving nonself multivalued map**s in CAT(0) spaces. We show that...
