AN INERTIAL ALGORITHM WITH A SELF-ADAPTIVE STEP SIZE FOR A SPLIT EQUILIBRIUM PROBLEM AND A FIXED POINT PROBLEM OF AN INFINITE FAMILY …

TO Alakoya, ASOE Owolabi… - Journal of Nonlinear & …, 2021 - search.ebscohost.com
In this paper, we study a split equilibrium problem and a fixed point problem with an infinite
family of strict pseudo-contractive mappings. We introduce a new inertial iterative scheme …

Computational intelligent paradigms to solve the nonlinear SIR system for spreading infection and treatment using Levenberg–Marquardt backpropagation

M Umar, Z Sabir, MA Zahoor Raja, M Gupta, DN Le… - Symmetry, 2021 - mdpi.com
The current study aims to design an integrated numerical computing-based scheme by
applying the Levenberg–Marquardt backpropagation (LMB) neural network to solve the …

A new step size selection strategy for the superiorization methodology using subgradient vectors and its application for solving convex constrained optimization …

M Abbasi, M Ahmadinia… - IMA Journal of Numerical …, 2024 - academic.oup.com
This paper presents a novel approach for solving convex constrained minimization problems
by introducing a special subclass of quasi-nonexpansive operators and combining them …

Superiorization versus regularization: A comparison of algorithms for solving image reconstruction problems with applications in computed tomography

M Guenter, S Collins, A Ogilvy, W Hare… - Medical …, 2022 - Wiley Online Library
Purpose A system matrix can be built in order to account for the refractions in an optical
computed tomography (CT) system. In order to utilize this system matrix, iterative methods …

[PDF][PDF] A subgradient extragradient algorithm for solving split equilibrium and fixed point problems in reflexive Banach spaces

OK Oyewole, OT Mewomo - J. Nonlinear Funct. Anal, 2020 - jnfa.mathres.org
In this paper, a new iterative algorithm with a self-adaptive step size is proposed for split
feasibility problem involving bifunctions and Bregman quasi-nonexpansive mappings. A …

[PDF][PDF] A modified inertial projection and contraction method for solving bilevel split variational inequality problems

GC Ugwunnadi, C Izuchukwu… - Appl. Set-Valued …, 2022 - asvao.biemdas.com
The main purpose of this paper is to study a bilevel split variational inequality problem in two
real Hilbert spaces. We propose a new modified inertial projection and contraction method …

[HTML][HTML] An iterative approach for addressing monotone inclusion and fixed point problems with generalized demimetric mappings

S Mehra, R Chugh, D Santina, N Mlaiki - Partial Differential Equations in …, 2024 - Elsevier
Throughout this study, we present a new algorithm for finding the common solution of a finite
family of monotone inclusion and the fixed point problem of a finite family of generalized …

Superiorization-inspired unrolled SART algorithm with U-Net generated perturbations for sparse-view and limited-angle CT reconstruction

Y Jia, N McMichael, P Mokarzel… - Physics in Medicine …, 2022 - iopscience.iop.org
Objective. Unrolled algorithms are a promising approach for reconstruction of CT images in
challenging scenarios, such as low-dose, sparse-view and limited-angle imaging. In an …

Superiorization and perturbation resilience of algorithms: a continuously updated bibliography

Y Censor - arXiv preprint arXiv:1506.04219, 2015 - arxiv.org
This document presents a (mostly) chronologically-ordered bibliography of scientific
publications on the superiorization methodology and perturbation resilience of algorithms …

Plug-and-play superiorization

J Henshaw, A Gibali, T Humphries - arXiv preprint arXiv:2410.23401, 2024 - arxiv.org
The superiorization methodology (SM) is an optimization heuristic in which an iterative
algorithm, which aims to solve a particular problem, is``superiorized''to promote solutions …