Abstract In this paper, we propose a new inertial iterative method to solve classical variational inequalities with pseudomonotone and Lipschitz continuous operators in the setting of real Hilbert space. The proposed scheme is basically analogous extragradient used problems spaces. strong convergence algorithm set up prior knowledge Lipschitz’s constant an operator. Finally, several computation...

In this paper, we present a new hybrid extragradient algorithm for finding common element of the fixed point problem demicontractive mapping and split equilibrium pseudomonotone Lipschitz-type continuous bifunction. By using technique choosing step size proposed method, our algorithms do not need any prior information operator norm. fact, propose an inertial type in order to accelerate its conv...

In a Hadamard manifold, let the VIP and SVI represent variational inequality problem system of inequalities, respectively, where consists two inequalities which are symmetric structure mutually. This article designs parallel algorithms to solve via subgradient extragradient approach, each algorithm parts It is proven that, if underlying vector fields monotonicity, then sequences constructed by ...

We consider a wide range of regularized stochastic minimization problems with two regularization terms, one of which is composed with a linear function. This optimization model abstracts a number of important applications in artificial intelligence and machine learning, such as fused Lasso, fused logistic regression, and a class of graph-guided regularized minimization. The computational challe...