Strong convergence of a forward–backward splitting method with a new step size for solving monotone inclusions

DV Thong, P Cholamjiak - Computational and Applied Mathematics, 2019 - Springer
In this paper, our interest is in investigating the monotone inclusion problems in the
framework of real Hilbert spaces. To solve this problem, we propose a new modified forward …

[PDF][PDF] Derivative-free rmil conjugate gradient algorithm for convex constrained equations

AH Ibrahim, AI Garba, H Usman… - Thai Journal of …, 2019 - researchgate.net
An efficient method for solving large scale unconstrained optimization problems is the
conjugate method. Based on the conjugate gradient algorithm proposed by Rivaie, Mohd, et …

Tseng methods with inertial for solving inclusion problems and application to image deblurring and image recovery problems

A Padcharoen, D Kitkuan, W Kumam… - Computational and …, 2021 - Wiley Online Library
In this article, we offer two modifications of the modified forward‐backward splitting method
based on inertial Tseng method and viscosity method for inclusion problems in real Hilbert …

Physics-informed multi-fidelity learning-driven imaging method for electrical capacitance tomography

J Lei, Q Liu, X Wang - Engineering Applications of Artificial Intelligence, 2022 - Elsevier
The electrical capacitance tomography is considered to be a promising non-invasive
visualization method for the measurement of multiphase flow parameters, but low-quality …

[PDF][PDF] A descent dai-liao projection method for convex constrained nonlinear monotone equations with applications

AB Abubakar, P Kumam, AM Awwal - Thai Journal of Mathematics, 2018 - researchgate.net
In this article, we propose a descent Dai-Liao projection method to solve nonlinear
monotone equations with convex constraints. Under some suitable conditions, we prove the …

An accelerated subgradient extragradient algorithm for strongly pseudomonotone variational inequality problems

J Abubakar, K Sombut… - Thai Journal of …, 2019 - thaijmath2.in.cmu.ac.th
In this article, we propose an accelerated subgradient extragradient algorithm for solving
variational inequality problems involving strongly pseudomonotone operator by introducing …

Self-paced learning-assisted regularization reconstruction method with data-adaptive prior for electrical capacitance tomography

J Lei, Q Liu - Expert Systems with Applications, 2022 - Elsevier
The advent of electrical capacitance tomography provides a potential visualization-based
measurement paradigm for process monitoring, but the large gap between the reconstructed …

Iterative methods for solving monotone variational inclusions without prior knowledge of the Lipschitz constant of the single-valued operator

DV Thong, S Reich, P Cholamjiak, LD Long - Numerical Algorithms, 2024 - Springer
In this work, we investigate a contraction-type method for solving monotone variational
inclusion problems in real Hilbert spaces. We obtain strong convergence theorems for two …

Deep nested algorithm unrolling learning for inverse problems with its application in electrical capacitance tomography

J Lei, Q Liu, X Wang - Engineering Applications of Artificial Intelligence, 2024 - Elsevier
Electrical capacitance tomography stands out as a promising measurement modality but is
limited by low-quality images. To alleviate this challenge, this study establishes a new …

Multitasking optimization for the imaging problem in electrical capacitance tomography

J Lei, Q Liu - Expert Systems with Applications, 2024 - Elsevier
Electrical capacitance tomography excels in measuring multiphase flows, but it faces
challenges in reconstructing high-accuracy images. To tap into the potential of this …