The paper presents four modifications of the inertial forward–backward splitting method for
monotone inclusion problems in the framework of real Hilbert spaces. The advantages of our …

A survey of the existing literature reveals that results on quasimonotone variational
inequality problems are scanty in the literature. Moreover, the few existing results are either …

In this paper, four self-adaptive iterative algorithms with inertial effects are introduced to
solve a split variational inclusion problem in real Hilbert spaces. One of the advantages of …

We introduce two new iterative algorithms with line-search process for solving a variational
inequality problem with pseudomonotone and Lipschitz continuous mapping and a common …

We introduce two inertial extragradient algorithms for solving a bilevel pseudomonotone
variational inequality problem in real Hilbert spaces. The advantages of the proposed …

In this paper, we introduce two different kinds of iterative algorithms, which are based on the
inertial Tseng's method and the viscosity method. They are intended to solve the variational …

The paper introduces two inertial Mann algorithms to find solutions of hierarchical fixed point
problems of nonexpansive mappings. We obtain strong convergence theorems in Hilbert …

In this paper, we study the strong convergence of two Mann-type inertial extragradient
algorithms, which are devised with a new step size, for solving a variational inequality …

This paper deals with a variational inequality problem over a solution set of another
variational inequality problem, which essentially is called the double-hierarchical …

In this paper, four extragradient-type algorithms with inertial terms are presented for solving
the variational inequality problem with a pseudomonotone and non-Lipschitz continuous …