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Solving quasimonotone and non-monotone variational inequalities
We present a simple iterative method for solving quasimonotone as well as classical variational inequalities without monotonicity. Strong convergence...
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Strong convergent algorithm for finding minimum-norm solutions of quasimonotone variational inequalities with fixed point constraint and application
The class of quasimonotone map**s are known to be more general and applicable than the classes of pseudomonotone and monotone map**s. However,...
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A modified subgradient extragradient method with non-monotonic step sizes for solving quasimonotone variational inequalities
In this work, we propose a self-adaptive projection method for solving variational inequalities with Lipschitz continuous and quasimonotone map**...
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An inertial method for solving split equality quasimonotone Minty variational inequality problems in reflexive Banach spaces
In this paper, we introduce the split equality Minty variational inequality problem in reflexive real Banach spaces. Then we construct a single...
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A modified subgradient extragradient algorithm-type for solving quasimonotone variational inequality problems with applications
In this article, we introduce an inertial-type algorithm that combines the extragradient subgradient method, the projection contraction method, and...
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An inertial projection and contraction method for solving bilevel quasimonotone variational inequality problems
In this paper, we study an iterative algorithm that is based on inertial projection and contraction methods for solving bilevel quasimonotone...
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Strong convergence results for quasimonotone variational inequalities
A survey of the existing literature reveals that results on quasimonotone variational inequality problems are scanty in the literature. Moreover, the...
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Quasimonotone random and stochastic functional differential equations with applications
In this paper, we study monotone properties of random and stochastic functional differential equations and their global dynamics. First, we show that...
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A projection-like method for quasimonotone variational inequalities without Lipschitz continuity
For most projection methods, the operator of a variational inequality problem is assumed to be monotone (or pseudomonotone) and Lipschitz continuous....
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A simple projection method for solving quasimonotone variational inequality problems
Projection methods have been one of the popular methods for solving variational inequality problems in the literature. Several projection methods...
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A relationship between quasimonotone and monotone bifunctions
The purpose of this note is to investigate the situations under which the quasimonotonicity of a bifunction implies its monotonicity. This work...
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Convergence of Relaxed Inertial Subgradient Extragradient Methods for Quasimonotone Variational Inequality Problems
In this paper, we present two new relaxed inertial subgradient extragradient methods for solving variational inequality problems in a real Hilbert...
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Inertial projection and contraction algorithms with larger step sizes for solving quasimonotone variational inequalities
This paper deals with a class of inertial projection and contraction algorithms for solving a variational inequality problem involving quasimonotone...
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Weak convergence of iterative methods for solving quasimonotone variational inequalities
In this work, we introduce self-adaptive methods for solving variational inequalities with Lipschitz continuous and quasimonotone map**(or...
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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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Hölder Continuity of the Traces of Sobolev Functions to Hypersurfaces in Carnot Groups and the \( \mathcal{P} \)-Differentiability of Sobolev Map**s
We study the behavior of Sobolev functions and map**s on the Carnot groups with the left invariant sub-Riemannian metric. We obtain some...
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Spreading Speed in an Asymptotic Autonomous System with Application to a Diffusive Stage-Structured SLIRM Model
This article studies the spreading properties in an asymptotic autonomous non-cooperative system that can be regarded as an epidemic model or a...
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A Class of Variational-Like Inequalities in Banach Spaces
In this paper, we find some properties of generalized relaxed \(\eta - \alpha \)...
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Strong convergence of modified inertial extragradient methods for non-Lipschitz continuous variational inequalities and fixed point problems
In this paper, we present two modified algorithms for finding a common element of the solution set of a quasimonotone variational inequality and the...
