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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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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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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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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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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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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 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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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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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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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 Continuity Result for the Adjusted Normal Cone Operator
The concept of adjusted sublevel set for a quasiconvex function was introduced by Aussel and Hadjisavvas who proved the local existence of a...
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Existence of weak solutions for p(x)-Laplacian-like problem with p(x)-Laplacian operator under Neumann boundary condition
Our purpose is to establish the existence of weak solutions to Neumann boundary value problem for equations involving the p ( x )-Laplacian-like...
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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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A strongly convergent algorithm for solving split equality problems beyond monotonicity
In this paper, we focus on some split inverse problems, namely the split equality variational inequalities and common fixed point problems, and...
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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...
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A Modulus of Smoothness for Some Banach Function Spaces
Based on the Steklov operator, we consider a modulus of smoothness for functions in some Banach function spaces, which can be not translation...
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Relaxed Inertial Method for Solving Split Monotone Variational Inclusion Problem with Multiple Output Sets Without Co-coerciveness and Lipschitz Continuity
In this paper, we study the concept of split monotone variational inclusion problem with multiple output sets. We propose a new relaxed inertial...