Search Results - Forward–reflected–backward splitting algorithm

Training of extreme learning machine network based on novel generalized inertial forward-reflected-backward splitting algorithm

Authors: Li, Tiexiang Jolaoso, Lateef O. Adegoke, Muideen et al.

Source: Optimization. :1-20

Convergence rates of the modified forward reflected backward splitting algorithm in Banach spaces

Authors: Weibo Guan Wen Song

Source: AIMS Mathematics, Vol 8, Iss 5, Pp 12195-12216 (2023)

Subject Terms: banach spaces, convergence rate, QA1-939, forward-backward splitting algorithm, Mathematics

Access URL: https://doaj.org/article/1949b2e49e4e4e10a4b85c29056f497b

The inertial forward-reflected-backward splitting algorithm for solving variational inequality problems in Hilbert spaces

Authors: Fu Qingqing Cai Gang Huang Yi

Source: SCIENTIA SINICA Mathematica.

Two Relaxed Inertial Forward–Reflected–Backward Splitting Algorithms With Momentum Terms

Authors: Binbin Zhang Ximeng Guan Chenhao Yin

Source: Journal of Mathematics, Vol 2025 (2025)

Subject Terms: Mathematics, QA1-939

File Description: electronic resource

Relation: https://doaj.org/toc/2314-4785

Access URL: https://doaj.org/article/718dfe60210b4cfa9be7ad5dc0b09cd1

Training of extreme learning machine network based on novel generalized inertial forward-reflected-backward splitting algorithm

Authors: Tiexiang Li Lateef O. Jolaoso Muideen Adegoke et al.

Subject Terms: Space Science, Biological Sciences not elsewhere classified, Mathematical Sciences not elsewhere classified, Information Systems not elsewhere classified, Splitting algorithms, inertial method, monotone inclusion, extreme learning machine, neural network, 68Q25, 68T05, 92B20, 90C25, 90C30

Availability: https://doi.org/10.6084/m9.figshare.29413834.v1
https://figshare.com/articles/journal_contribution/Training_of_extreme_learning_machine_network_based_on_novel_generalized_inertial_forward-reflected-backward_splitting_algorithm/29413834

Two Relaxed Inertial Forward–Reflected–Backward Splitting Algorithms With Momentum Terms.

Authors: Zhang, Binbin Guan, Ximeng Yin, Chenhao et al.

Source: Journal of Mathematics; 10/7/2025, Vol. 2025, p1-23, 23p

Subject Terms: HILBERT space, MONOTONE operators, OPTIMIZATION algorithms, NUMERICAL calculations, ALGORITHMS

Inertial Forward–Reflected–Backward Splitting Method with Linesearch for Nonconvex Split Feasibility Problem.

Authors: Yang, Yang Qu, Biao Song, Jiayi

Source: Asia-Pacific Journal of Operational Research. Jun2025, p1. 23p.

Subject Terms: *MATHEMATICAL optimization, *SIMULATION methods & models, *MATHEMATICAL programming, OPTIMIZATION algorithms, CONSTRAINT satisfaction, NONLINEAR theories

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

Authors: Yao, Yonghong Adamu, Abubakar Shehu, Yekini

Source: Journal of Optimization Theory & Applications. Jun2024, Vol. 201 Issue 3, p1364-1397. 34p.

Subject Terms: *MONOTONE operators, *HILBERT space, *ALGORITHMS

Self-adaptive forward–backward splitting algorithm for the sum of two monotone operators in Banach spaces

Authors: Abdulmalik U. Bello Charles E. Chidume Maryam Alka

Source: Fixed Point Theory and Algorithms for Sciences and Engineering, Vol 2022, Iss 1, Pp 1-16 (2022)

Subject Terms: Maximal monotone operators, Lipschitz-continuous operator, Forward–reflected–backward splitting method, 2-uniformly convex spaces, Applied mathematics. Quantitative methods, T57-57.97, Analysis, QA299.6-433

File Description: electronic resource

Relation: https://doaj.org/toc/2730-5422

Access URL: https://doaj.org/article/c3c19c52ff274a7d859f33e474e7237e

New accelerated splitting algorithm for monotone inclusion problems.

Authors: Jolaoso, Lateef O. Shehu, Yekini Xu, Hong-Kun

Source: Optimization. Mar2025, Vol. 74 Issue 3, p781-810. 30p.

Subject Terms: *HILBERT space, *ALGORITHMS, *MONOTONE operators

SIMPLIFIED PRIMAL-DUAL FORWARD-BACKWARD SPLITTING ALGORITHM FOR SOLVING STRUCTURED MONOTONE INCLUSION WITH APPLICATIONS.

Authors: HUANG, WENLI LI, HAIYANG PENG, JIGEN et al.

Source: Journal of Nonlinear & Variational Analysis; 2025, Vol. 9 Issue 6, p927-945, 19p

Subject Terms: IMAGE processing, SIGNAL processing, FORWARD-backward algorithm, OPTIMIZATION algorithms, CONVEX programming, MONOTONE operators

A Mirror Inertial Forward-Reflected-Backward Splitting: Convergence Analysis Beyond Convexity and Lipschitz Smoothness.

Authors: Themelis, Andreas Ou, Hongjia Wang, Xianfu et al.

Index Terms: Nonsmooth nonconvex optimization, Forward-reflected-backward splitting, Inertia, Bregman distance, Mordukhovich limiting subdifferential, Relative smoothness, Journal Article., AM.

URL: https://hdl.handle.net/2324/7178603
https://doi.org/10.1007/s10957-024-02383-9

Convergence Analysis of a New Forward-Reflected-Backward Algorithm for Four Operators Without Cocoercivity.

Authors: Cao, Yu Wang, Yuanheng ur Rehman, Habib et al.

Source: Journal of Optimization Theory & Applications. Oct2024, Vol. 203 Issue 1, p256-284. 29p.

Subject Terms: *LIPSCHITZ continuity, *HILBERT space, *MONOTONE operators, *ALGORITHMS

Outer reflected forward–backward splitting algorithm with inertial extrapolation step.

Authors: Shehu, Yekini Jolaoso, Lateef O. Okeke, C. C. et al.

Source: Optimization; Nov2025, Vol. 74 Issue 15, p3901-3924, 24p

Subject Terms: MONOTONE operators, HILBERT space, IMAGE processing, NUMERICAL analysis, EXTRAPOLATION, COMPRESSED sensing, OPTIMIZATION algorithms, ASYMPTOTIC analysis

An Inertial Semi-forward-reflected-backward Splitting and Its Application.

Authors: Zong, Chun Xiang Tang, Yu Chao Zhang, Guo Feng

Source: Acta Mathematica Sinica; Feb2022, Vol. 38 Issue 2, p443-464, 22p

Subject Terms: MATHEMATICAL optimization, MONOTONE operators, PARALLEL algorithms, ALGORITHMS

Forward-backward-half forward splitting algorithm with deviations.

Authors: Qin, Liqian Dong, Qiao-Li Zhang, Yaxuan et al.

Source: Optimization; Aug2025, Vol. 74 Issue 9, p2137-2158, 22p

Subject Terms: FORWARD-backward algorithm, MONOTONE operators, LIPSCHITZ continuity, MATHEMATICAL analysis, OPERATOR functions, ALGORITHMS, EMPIRICAL research, STANDARD deviations

Convergence rates of the modified forward reflected backward splitting algorithm in Banach spaces.

Authors: Guan, Weibo Song, Wen

Source: Applied Mathematics for Modern Challenges; 2023, Vol. 8 Issue 5, p1-22, 22p

Subject Terms: BANACH spaces, CONVEX functions, MATHEMATICAL models, ALGORITHMS, STOCHASTIC convergence

INERTIA AND RELATIVE SMOOTHNESS IN NONCONVEX MINIMIZATION: A CASE STUDY ON THE FORWARD-REFLECTED-BACKWARD ALGORITHM

Authors: Themelis, Andreas Wang, Ziyuan Ou, Hongjia et al.

Index Terms: Presentation

URL: http://hdl.handle.net/2324/6790347
https://catalog.lib.kyushu-u.ac.jp/opac_download_md/6790347/6790347.pdf

Stochastic forward-backward-half forward splitting algorithm with variance reduction.

Authors: Qin, Liqian Zhang, Yaxuan Dong, Qiao-Li et al.

Source: Optimization Letters; Dec2025, Vol. 19 Issue 9, p1997-2010, 14p

Nonlinear three-operator splitting algorithms with momentum for monotone inclusions

Authors: Qin, Liqian Gibali, Aviv Zhang, Cuijie et al.

Subject Terms: Optimization and Control, 47H05, 65K15, 90C25

Relation: http://arxiv.org/abs/2511.14050

Availability: http://arxiv.org/abs/2511.14050