A modified subgradient extragradient algorithm-type for solving quasimonotone variational inequality problems with applications

AE Ofem, AA Mebawondu, GC Ugwunnadi… - Journal of Inequalities …, 2023 - Springer
In this article, we introduce an inertial-type algorithm that combines the extragradient
subgradient method, the projection contraction method, and the viscosity method. The …

A modified Tseng algorithm approach to restoring thoracic diseases' computerized tomography images

DU Ozsahin, A Adamu, MR Aliyu, H Umar - Plos one, 2024 - journals.plos.org
It is well-known that the Tseng algorithm and its modifications have been successfully
employed in approximating zeros of the sum of monotone operators. In this study, we …

Solving quasimonotone and non-monotone variational inequalities

VA Uzor, TO Alakoya, OT Mewomo, A Gibali - Mathematical Methods of …, 2023 - Springer
We present a simple iterative method for solving quasimonotone as well as classical
variational inequalities without monotonicity. Strong convergence analysis is given under …

[PDF][PDF] Strong convergence analysis for solving quasi-monotone variational inequalities and fixed point problems in reflexive Banach spaces, J

AOE Owolabi, OT Mewomo, JC Yao… - Nonlinear Funct. Anal, 2023 - researchgate.net
In this paper, we propose a modified inertial hybrid Tseng's extragradient algorithm with self-
adaptive step sizes for finding a common solution of variational inequalities with …

Inertial Halpern-type methods for variational inequality with application to medical image recovery

AA Adam, A Adamu, AH Ibrahim, DU Ozsahin - … in Nonlinear Science and …, 2024 - Elsevier
In this paper, we propose inertial Halpern-type algorithms involving a quasi-monotone
operator for approximating solutions of variational inequality problems which are fixed points …

[PDF][PDF] A technique with diminishing and non-summable step-size for monotone inclusion problems in banach spaces

A Adamu, DU Ozsahin, AH Ibrahim… - Nonlinear Functional …, 2023 - nfaa.kyungnam.ac.kr
In this paper, an algorithm for approximating zeros of sum of three monotone operators is
introduced and its convergence properties are studied in the setting of 2-uniformlyconvex …

Three novel inertial subgradient extragradient methods for quasi-monotone variational inequalities in Banach spaces

Z Wang, P Sunthrayuth, R Promkam… - Computational and Applied …, 2024 - Springer
In this paper, we introduce three new inertial subgradient extragradient methods for solving
variational inequalities involving quasi-monotone operators in the setting of 2-uniformly …

An inertial method for solving split equality quasimonotone Minty variational inequality problems in reflexive Banach spaces

YA Belay, H Zegeye, OA Boikanyo, HH Gidey… - Rendiconti del Circolo …, 2024 - Springer
In this paper, we introduce the split equality Minty variational inequality problem in reflexive
real Banach spaces. Then we construct a single projection inertial algorithm for solving the …

[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 …

Two Modified Inertial Algorithms for a Class of Split Common Null Point Problems with Demi-Contractive Mapping

Y Tang, S Zhang, H Zhou - Mediterranean Journal of Mathematics, 2024 - Springer
We focus on two alternating inertial projection iterative algorithms to a class of split common
null point problem, specifically, the common solution of the pseudomonotone variational …