An inertial method for solving generalized split feasibility problems over the solution set of monotone variational inclusions

C Izuchukwu, GN Ogwo, OT Mewomo - Optimization, 2022 - Taylor & Francis
In this paper, we propose a new inertial extrapolation method for solving the generalized
split feasibility problems over the solution set of monotone variational inclusion problems in …

An inertial extrapolation method for solving generalized split feasibility problems in real Hilbert spaces

EC Godwin, C Izuchukwu, OT Mewomo - Bollettino dell'Unione …, 2021 - Springer
In this paper, we propose a new inertial extrapolation method for solving a certain class of
generalized split feasibility problems in two real Hilbert spaces. We prove that the proposed …

Strong convergence of inertial forward–backward methods for solving monotone inclusions

B Tan, SY Cho - Applicable Analysis, 2022 - Taylor & Francis
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 …

Tseng type methods for solving inclusion problems and its applications

A Gibali, DV Thong - Calcolo, 2018 - Springer
In this paper, we introduce two modifications of the forward–backward splitting method with
a new step size rule for inclusion problems in real Hilbert spaces. The modifications are …

[HTML][HTML] Inertial shrinking projection algorithm with self-adaptive step size for split generalized equilibrium and fixed point problems for a countable family of …

MA Olona, TO Alakoya, AOE Owolabi… - Demonstratio …, 2021 - degruyter.com
In this paper, we introduce a shrinking projection method of an inertial type with self-
adaptive step size for finding a common element of the set of solutions of a split generalized …

[PDF][PDF] Inertial algorithm for solving equilibrium, variational inclusion and fixed point problems for an infinite family of strict pseudocontractive mappings

MA Olona, TO Alakoya, AOE Owolabi… - Nonlinear Funct …, 2021 - researchgate.net
In this paper we study the problem of finding common solutions of Equilibrium Problem (EP),
Variational Inclusion Problem (VIP) and Fixed Point Problem (FPP) for an infinite family of …

Inertial forward-backward splitting method in Banach spaces with application to compressed sensing

P Cholamjiak, Y Shehu - Applications of Mathematics, 2019 - Springer
We propose a Halpern-type forward-backward splitting with inertial extrapolation step for
finding a zero of the sum of accretive operators in Banach spaces. Strong convergence of …

Convergence results of two-step inertial proximal point algorithm

OS Iyiola, Y Shehu - Applied Numerical Mathematics, 2022 - Elsevier
This paper proposes a two-point inertial proximal point algorithm to find zero of maximal
monotone operators in Hilbert spaces. We obtain weak convergence results and non …

Inertial viscosity-type iterative method for solving inclusion problems with applications

A Adamu, D Kitkuan, A Padcharoen… - … and Computers in …, 2022 - Elsevier
An inertial viscosity-type iterative method that approximates a solution of an inclusion
problem and a fixed point problem is introduced and studied. Strong convergence theorem …

Strong convergence of a forward–backward splitting method with a new step size for solving monotone inclusions

DV Thong, P Cholamjiak - Computational and Applied Mathematics, 2019 - Springer
In this paper, our interest is in investigating the monotone inclusion problems in the
framework of real Hilbert spaces. To solve this problem, we propose a new modified forward …