Relaxed Tseng splitting method with double inertial steps for solving monotone inclusions and fixed point problems

AE Ofem, AA Mebawondu, GC Ugwunnadi… - Numerical …, 2024 - Springer
In this article, we consider the problem of approximating the common solution of monotone
inclusions and demicontraction fixed point problems. Firstly, we present Tseng splitting …

[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 …

Fast hybrid iterative schemes for solving variational inclusion problems

S Reich, A Taiwo - Mathematical Methods in the Applied …, 2023 - Wiley Online Library
Tseng's forwardbackwardforward splitting method for finding zeros of the sum of Lipschitz
continuous monotone and maximal monotone operators is known to converge weakly in …

[HTML][HTML] An inertial viscosity algorithm for solving monotone variational inclusion and common fixed point problems of strict pseudocontractions

TO Alakoya, OJ Ogunsola, OT Mewomo - Boletín de la Sociedad …, 2023 - Springer
In this paper, we study the problem of finding the solution of monotone variational inclusion
problem (MVIP) with constraint of common fixed point problem (CFPP) of strict …

[HTML][HTML] An inertial based forward–backward algorithm for monotone inclusion problems and split mixed equilibrium problems in Hilbert spaces

Y Arfat, P Kumam, PS Ngiamsunthorn… - Advances in Difference …, 2020 - Springer
Iterative algorithms are widely applied to solve convex optimization problems under a
suitable set of constraints. In this paper, we develop an iterative algorithm whose …

A relaxed forward-backward-forward algorithm with alternated inertial step: weak and linear convergence

Y Shehu, L Liu, QL Dong, JC Yao - Networks and Spatial Economics, 2022 - Springer
We study the forward-backward-forward splitting method with alternated inertial step in this
paper. We consider under-relaxation and over-relaxation approaches to the proposed …

[PDF][PDF] Inertial extrapolation method with regularization for solving monotone bilevel variation inequalities and fixed point problems

F Akutsah, AA Mebawondu, GC Ugwunnadi… - Nonlinear Funct …, 2022 - researchgate.net
The purpose of this paper is to introduce a generalized inertial extrapolation iterative method
with regularization for approximating a solution of monotone and Lipschitz variational …

Inertial extrapolation method with regularization for solving a new class of bilevel problem in real Hilbert spaces

F Akutsah, AA Mebawondu, GC Ugwunnadi, P Pillay… - SeMA Journal, 2023 - Springer
The purpose of this paper is to introduce a new class of bilevel problem in the frame work of
a real Hilbert space. In addition, we introduce an inertial iterative method with a …

[HTML][HTML] Tseng type methods for inclusion and fixed point problems with applications

R Suparatulatorn, A Khemphet - Mathematics, 2019 - mdpi.com
An algorithm is introduced to find an answer to both inclusion problems and fixed point
problems. This algorithm is a modification of Tseng type methods inspired by Mann's type …

Three new iterative methods for solving inclusion problems and related problems

A Gibali, DV Thong, NT Vinh - Computational and Applied Mathematics, 2020 - Springer
In this paper, we study the variational inclusion problem which consists of finding zeros of
the sum of a single and multivalued mappings in real Hilbert spaces. Motivated by the …