In this paper, we introduce a new algorithm which combines the inertial contraction
projection method and the Mann-type method (Mann in Proc. Am. Math. Soc. 4: 506–510 …

In this paper, we investigate the monotone variational inequalities and fixed point problems
in Hilbert spaces. Two modified extragradient algorithms are presented for finding a …

In this paper, we consider the fixed point and variational inequality problems in Hilbert
spaces. We suggest an extragradient algorithm for finding a common element of the set of …

In this paper, we present a Tseng-type self-adaptive algorithm for solving a variational
inequality and a fixed point problem involving pseudomonotone and pseudocontractive …

The purpose of this paper is to study and analyze two different kinds of inertial type iterative
methods for solving variational inequality problems involving strongly pseudomonotone and …

In this paper, we first introduce a multi-step inertial Krasnosel'skiǐ–Mann algorithm (MiKM) for
nonexpansive operators in real Hilbert spaces. We give the convergence of the MiKM by …

We consider the monotone variational inequality problem in a Hilbert space and describe a
projection-type method with inertial terms under the following properties:(a) The method …

In this work, our interest is in investigating the monotone variational inequality problems in
the framework of real Hilbert spaces. For solving this problem, we introduce two modified …

We consider a new subgradient extragradient iterative algorithm with inertial extrapolation
for approximating a common solution of variational inequality problems and fixed point …

In this paper, we suggest two new iterative methods for finding an element of the solution set
of split variational inclusion problem in real Hilbert spaces. Under suitable conditions, we …