The split feasibility problem is to find a point x∗ with the property that x∗∈ C and A x∗∈ Q,
where C and Q are nonempty closed convex subsets of real Hilbert spaces X and Y …

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 …

In this paper, we establish the convergence theorems for two projection algorithms for
finding a null point of the sum of two monotone operators in Hilbert spaces. Our algorithms …

In this paper, we introduce an explicit iterative algorithm for solving a (pseudo) monotone
variational inequality under Lipschitz condition in a Hilbert space. The algorithm is …

The purpose of this article is to introduce a general inertial projected gradient method with a
self-adaptive stepsize for solving variational inequality problems. The proposed method …

The Krasnosel'skiı–Mann (KM) iterative method has extensively been employed to find fixed
points of nonlinear mappings (in particular, nonexpansive mappings) and solve convex …

We come up with a new type of forward–backward–forward algorithms for monotone
inclusion problems based on a self-adaptive technique to avoid the selection of Lipschitz …

In this paper we suggest a theoretical framework to study the generalized split null point
problem (GSNPP) via a multi-step inertial based parallel hybrid projection algorithm in …

We establish the weak convergence of inertial Krasnoselskii-Mann iterations towards a
common fixed point of a family of quasi-nonexpansive operators, along with estimates for the …

In this paper, we present a new hybrid extragradient algorithm for finding a common element
of the fixed point problem for a demicontractive mapping and the split equilibrium problem …