Search Results - reflected forward-backward splitting algorithm

Outer reflected forward–backward splitting algorithm with inertial extrapolation step

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

Source: Optimization. :1-24

Three-operator reflected forward-backward splitting algorithm with double inertial effects

Authors: Qiao-Li Dong Min Su Yekini Shehu

Source: Optimization Methods and Software. 39:431-456

Convergence of an inertial reflected–forward–backward splitting algorithm for solving monotone inclusion problems with application to image recovery

Authors: Chinedu Izuchukwu Simeon Reich Yekini Shehu

Source: Journal of Computational and Applied Mathematics. 460:116405

Perturbed reflected forward backward splitting algorithm for monotone inclusion

Authors: Bing Tan Yekini Shehu Tiexiang Li et al.

Source: Communications in Nonlinear Science and Numerical Simulation. 142:108565

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

Convergence analysis of the stochastic reflected forward–backward splitting algorithm

Authors: Van Dung Nguyen Bắng Công Vũ

Source: Optimization Letters. 16:2649-2679

Subject Terms: 0209 industrial biotechnology, Optimization and Control (math.OC), FOS: Mathematics, 0211 other engineering and technologies, 02 engineering and technology, Mathematics - Optimization and Control

Access URL: http://arxiv.org/pdf/2102.08906
http://arxiv.org/abs/2102.08906

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

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

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

An outer reflected forward-backward splitting algorithm for solving monotone inclusions

Authors: Yu, Hui Zong, Chunxiang Tang, Yuchao

Subject Terms: Optimization and Control (math.OC), 0211 other engineering and technologies, FOS: Mathematics, 02 engineering and technology, 49M29, 47H05, 47J20, Mathematics - Optimization and Control

Access URL: http://arxiv.org/abs/2009.12493

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

Three-operator reflected forward-backward splitting algorithm with double inertial effects.

Authors: Dong, Qiao-Li Su, Min Shehu, Yekini

Source: Optimization Methods & Software; Apr2024, Vol. 39 Issue 2, p431-456, 26p

Subject Terms: FORWARD-backward algorithm, MONOTONE operators, HILBERT space, EXTRAPOLATION

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

OPERATOR SPLITTING SCHEMES THROUGH A REGULARIZATION APPROACH

Authors: Moudafi, Abdellatif MOUDAFI, Abdellatif

Contributors: Moudafi, Abdellatif MOUDAFI, Abdellatif

Subject Terms: Forward-backward splitting algorithm, Halpern's iteration, Monotone operator, Sum, Krasnoselskii algorithm, [MATH] Mathematics [math], Resolvent, Reflected resolvent, Composition

File Description: application/pdf

Access URL: https://amu.hal.science/hal-04211397v1

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

Fast Reflected Forward-Backward algorithm: achieving fast convergence rates for convex optimization with linear cone constraints.

Authors: Boţ RI Nguyen DK Zong C

Source: Journal of scientific computing [J Sci Comput] 2025; Vol. 105 (3), pp. 73. Date of Electronic Publication: 2025 Nov 03.

Publication Type: Journal Article

Journal Info: Publisher: Springer US Country of Publication: United States NLM ID: 9882378 Publication Model: Print-Electronic Cited Medium: Print ISSN: 0885-7474 (Print) Linking ISSN: 08857474 NLM ISO Abbreviation: J Sci Comput Subsets: PubMed not MEDLINE

Nonlinear Forward-Backward Splitting with Momentum Correction

Authors: Morin, Martin Banert, Sebastian Giselsson, Pontus et al.

Contributors: Morin, Martin Banert, Sebastian Giselsson, Pontus et al.

Source: Set-Valued and Variational Analysis. 31(4)

Subject Terms: Engineering and Technology, Electrical Engineering, Electronic Engineering, Information Engineering, Control Engineering, Teknik, Elektroteknik och elektronik, Reglerteknik

Access URL: https://doi.org/10.1007/s11228-023-00700-4

An accelerated forward-backward-half forward splitting algorithm for monotone inclusion with applications to image restoration.

Authors: Chunxiang Zong Yuchao Tang Guofeng Zhang

Source: Optimization; Feb2024, Vol. 73 Issue 2, p401-428, 28p

Subject Terms: IMAGE reconstruction, OPTIMIZATION algorithms, RESOLVENTS (Mathematics), ALGORITHMS, MONOTONE operators

Four-operator reflected forward-backward algorithm for solving monotone inclusions involving Lipschitzian operator.

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

Source: Communications in Nonlinear Science & Numerical Simulation. Feb2026, Vol. 153, pN.PAG-N.PAG. 1p.

Inertial Stochastic Reflected Forward Backward Method with Applications to Traffic Network Problems.

Authors: Izuchukwu, Chinedu Alakoya, Timilehin Opeyemi Moutari, Salissou et al.

Source: Journal of Optimization Theory & Applications. Nov2025, Vol. 207 Issue 2, p1-33. 33p.