[PDF][PDF] ALTERNATED INERTIAL RELAXED TSENG METHOD FOR SOLVING FIXED POINT AND QUASI-MONOTONE VARIATIONAL INEQUALITY PROBLEMS

AE Ofem, AA Mebawondu, C Agbonkhese… - Nonlinear Functional …, 2024 - researchgate.net
In this research, we study a modified relaxed Tseng method with a single projection
approach for solving common solution to a fixed point problem involving finite family of τ …

Forward–Reflected–Backward Splitting Algorithms with Momentum: Weak, Linear and Strong Convergence Results

Y Yao, A Adamu, Y Shehu - Journal of Optimization Theory and …, 2024 - Springer
This paper studies the forward–reflected–backward splitting algorithm with momentum terms
for monotone inclusion problem of the sum of a maximal monotone and Lipschitz continuous …

A modified subgradient extragradient method with non-monotonic step sizes for solving quasimonotone variational inequalities

DV Thong, XH Li, VT Dung, H Van Thang… - Computational and …, 2024 - Springer
In this work, we propose a self-adaptive projection method for solving variational inequalities
with Lipschitz continuous and quasimonotone mapping (or Lipschitz continuous mapping …

On Bilevel Monotone Inclusion and Variational Inequality Problems

AE Ofem, JA Abuchu, HA Nabwey, GC Ugwunnadi… - Mathematics, 2023 - mdpi.com
In this article, the problem of solving a strongly monotone variational inequality problem over
the solution set of a monotone inclusion problem in the setting of real Hilbert spaces is …

A Method with Double Inertial Type and Golden Rule Line Search for Solving Variational Inequalities.

UA Ezeafulukwe, BG Akuchu… - Mathematics (2227 …, 2024 - search.ebscohost.com
In this work, we study a new line-search rule for solving the pseudomonotone variational
inequality problem with non-Lipschitz mapping in real Hilbert spaces as well as provide a …

[PDF][PDF] Double inertial steps extragadient-type methods for solving optimal control and image restoration problems

AE Ofem, JA Abuchu, GC Ugwunnadi… - AIMS …, 2024 - aimspress.com
In order to approximate the common solution of quasi-nonexpansive fixed point and pseudo-
monotone variational inequality problems in real Hilbert spaces, this paper presented three …

An iterative scheme for solving minimization and fixed point problems with medical image restoration

K Chaichana, W Khangtragool, R Suparatulatorn - The Journal of Analysis, 2024 - Springer
Our study introduces a novel iterative algorithm that finds a common solution in a real Hilbert
space for minimization and fixed point problems. The study results in a number of theorems …

A new double inertial subgradient extragradient method for solving quasimonotone variationalinequality problems

R George, AE Ofem, AA Mebawondu… - Journal of Industrial …, 2024 - aimsciences.org
In order to solve variational inequality problems for which the cost operator is
quasimonotone and Lipschitz continuous in real Hilbert spaces, we propose a new double …

[PDF][PDF] Double inertial extrapolations method for solving split generalized equilibrium, fixed point and variational inequity problems

JA Ugboh, J Oboyi, HA Nabwey, CF Igiri… - AIMS …, 2024 - aimspress.com
This article proposes an iteration algorithm with double inertial extrapolation steps for
approximating a common solution of split equilibrium problem, fixed point problem and …

[PDF][PDF] Modified mildly inertial subgradient extragradient method for solving pseudomonotone equilibrium problems and nonexpansive fixed point problems

F Akutsah, AA Mebawondu, AE Ofem, R George… - AIMS …, 2024 - aimspress.com
This paper presents and examines a newly improved linear technique for solving the
equilibrium problem of a pseudomonotone operator and the fixed point problem of a …