Image restorations using a modified relaxed inertial technique for generalized split feasibility problems

EC Godwin, C Izuchukwu… - Mathematical Methods in …, 2023 - Wiley Online Library
In this article, we propose a new efficient selfadaptive method and prove that it converges
strongly to a minimumnorm solution of a generalized split feasibility problem in real Hilbert …

Viscosity S-iteration method with inertial technique and self-adaptive step size for split variational inclusion, equilibrium and fixed point problems

TO Alakoya, OT Mewomo - Computational and Applied Mathematics, 2022 - Springer
Several efficient methods have been developed in the literature for approximating solutions
of fixed point and optimization problems. However, the S-iteration process has been shown …

Relaxed inertial Tseng extragradient method for variational inequality and fixed point problems

EC Godwin, TO Alakoya, OT Mewomo… - Applicable …, 2023 - Taylor & Francis
In this paper, we introduce a new relaxed inertial Tseng extragradient method with self-
adaptive step size for approximating common solutions of monotone variational inequality …

On a system of monotone variational inclusion problems with fixed-point constraint

TO Alakoya, VA Uzor, OT Mewomo, JC Yao - Journal of Inequalities and …, 2022 - Springer
In this paper, we study the problem of finding the solution of the system of monotone
variational inclusion problems recently introduced by Chang et al.(Optimization 70 (12) …

Strong convergence of a self-adaptive inertial Tseng's extragradient method for pseudomonotone variational inequalities and fixed point problems

VA Uzor, TO Alakoya, OT Mewomo - Open Mathematics, 2022 - degruyter.com
In this paper, we study the problem of finding a common solution of the pseudomonotone
variational inequality problem and fixed point problem for demicontractive mappings. We …

Iterative algorithm with self-adaptive step size for approximating the common solution of variational inequality and fixed point problems

GN Ogwo, TO Alakoya, OT Mewomo - Optimization, 2023 - Taylor & Francis
In this paper, we propose and study new inertial viscosity Tseng's extragradient algorithms
with self-adaptive step size to solve the variational inequality problem (VIP) and the fixed …

Strong convergence results for quasimonotone variational inequalities

TO Alakoya, OT Mewomo, Y Shehu - Mathematical Methods of Operations …, 2022 - Springer
A survey of the existing literature reveals that results on quasimonotone variational
inequality problems are scanty in the literature. Moreover, the few existing results are either …

Inertial iterative method with self-adaptive step size for finite family of split monotone variational inclusion and fixed point problems in Banach spaces

GN Ogwo, TO Alakoya, OT Mewomo - Demonstratio Mathematica, 2022 - degruyter.com
In this paper, we propose and study a new inertial iterative algorithm with self-adaptive step
size for approximating a common solution of finite family of split monotone variational …

Relaxed inertial methods for solving split variational inequality problems without product space formulation

GN Ogwo, C Izuchukwu, OT Mewomo - Acta Mathematica Scientia, 2022 - Springer
Many methods have been proposed in the literature for solving the split variational inequality
problem. Most of these methods either require that this problem is transformed into an …

Alternated and multi-step inertial approximation methods for solving convex bilevel optimization problems

P Duan, Y Zhang - Optimization, 2023 - Taylor & Francis
In this paper, we propose three kinds of inertial approximation methods based on the
proximal gradient algorithm to accelerate the convergence of the algorithm for solving …