Search Results - "Forward–backward splitting algorithm"
-
1
Outer reflected forward-backward splitting algorithm with inertial extrapolation step
ISSN: 0233-1934, 1029-4945Published: Taylor & Francis 18.11.2025Published in Optimization (18.11.2025)“…This paper studies an outer reflected forward-backward splitting algorithm with an inertial step to find a zero of the sum of three monotone operators composing the maximal monotone operator…”
Get full text
Journal Article -
2
Convergence of an inertial reflected–forward–backward splitting algorithm for solving monotone inclusion problems with application to image recovery
ISSN: 0377-0427Published: Elsevier B.V 01.05.2025Published in Journal of computational and applied mathematics (01.05.2025)“…We first propose a reflected–forward–backward splitting algorithm with two inertial effects for solving monotone inclusions and then establish that the sequence of iterates it generates converges weakly in a real Hilbert space to a zero…”
Get full text
Journal Article -
3
Perturbed reflected forward backward splitting algorithm for monotone inclusion
ISSN: 1007-5704Published: Elsevier B.V 01.03.2025Published in Communications in nonlinear science & numerical simulation (01.03.2025)“…In this paper, we investigate a new reflected forward–backward splitting algorithm with self-adaptive step sizes to solve monotone inclusion problems…”
Get full text
Journal Article -
4
An inertial Mann forward-backward splitting algorithm of variational inclusion problems and its applications
ISSN: 0960-0779, 1873-2887Published: Elsevier Ltd 01.05.2022Published in Chaos, solitons and fractals (01.05.2022)“…In this paper, we introduce the inertial Mann forward-backward splitting algorithm for solving variational inclusion problem of the sum of two operators, the one is maximally monotone and the other…”
Get full text
Journal Article -
5
An inertially constructed forward–backward splitting algorithm in Hilbert spaces
ISSN: 1687-1847, 1687-1839, 1687-1847Published: Cham Springer International Publishing 24.02.2021Published in Advances in difference equations (24.02.2021)“…–backward splitting algorithm and the hybrid shrinking projection algorithm. We provide theoretical results concerning weak and strong convergence of the proposed…”
Get full text
Journal Article -
6
Forward–backward splitting algorithm for fixed point problems and zeros of the sum of monotone operators
ISSN: 2193-5343, 2193-5351, 2193-5351Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2020Published in Arabian Journal of Mathematics (01.04.2020)“…In this paper, we construct a forward–backward splitting algorithm for approximating a zero of the sum of an α…”
Get full text
Journal Article -
7
Convergence analysis of the stochastic reflected forward–backward splitting algorithm
ISSN: 1862-4472, 1862-4480Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2022Published in Optimization letters (01.12.2022)“…We propose and analyze the convergence of a novel stochastic algorithm for solving monotone inclusions that are the sum of a maximal monotone operator and a…”
Get full text
Journal Article -
8
Enhanced Double Inertial Forward–Backward Splitting Algorithm for Variational Inclusion Problems: Applications in Mathematical Integrated Skill Prediction
ISSN: 2073-8994, 2073-8994Published: Basel MDPI AG 01.08.2024Published in Symmetry (Basel) (01.08.2024)“…This paper introduces a new algorithm that combines the forward–backward splitting algorithms with a double inertial technique, utilizing the previous three iterations…”
Get full text
Journal Article -
9
Inertial viscosity forward-backward splitting algorithm for monotone inclusions and its application to image restoration problems
ISSN: 0020-7160, 1029-0265Published: Abingdon Taylor & Francis 01.02.2020Published in International journal of computer mathematics (01.02.2020)“…In this research, we are interested about the monotone inclusion problems in the scope of the real Hilbert spaces by using an inertial forward-backward splitting algorithm…”
Get full text
Journal Article -
10
Convergence analysis of a variable metric forward–backward splitting algorithm with applications
ISSN: 1029-242X, 1025-5834, 1029-242XPublished: Cham Springer International Publishing 20.05.2019Published in Journal of inequalities and applications (20.05.2019)“…The forward–backward splitting algorithm is a popular operator-splitting method for solving monotone inclusion of the sum of a maximal monotone operator and an inverse strongly monotone operator…”
Get full text
Journal Article -
11
Screening osteoporosis in elderly using a new two inertial projective forward-backward splitting algorithm
ISSN: 2008-949X, 2008-949XPublished: 01.01.2025Published in Journal of Mathematics and Computer Science (01.01.2025)Get full text
Journal Article -
12
Three-operator reflected forward-backward splitting algorithm with double inertial effects
ISSN: 1055-6788, 1029-4937Published: Abingdon Taylor & Francis 03.03.2024Published in Optimization methods & software (03.03.2024)“…In this paper, we propose a reflected forward-backward splitting algorithm with two different inertial extrapolations to find a zero of the sum of three monotone operators consisting of the maximal…”
Get full text
Journal Article -
13
Convergence Results of a New Monotone Inertial Forward–Backward Splitting Algorithm Under the Local Hölder Error Bound Condition
ISSN: 0095-4616, 1432-0606Published: New York Springer US 01.04.2022Published in Applied mathematics & optimization (01.04.2022)“…In this paper, we introduce a new monotone inertial Forward–Backward splitting algorithm (newMIFBS…”
Get full text
Journal Article -
14
A modified projective forward-backward splitting algorithm for variational inclusion problems to predict Parkinson's disease
ISSN: 2769-0911, 2769-0911Published: Abingdon Taylor & Francis Ltd 31.12.2024Published in Applied mathematics in science and engineering (31.12.2024)“… A modified projective forward-backward splitting algorithm is constructed to solve this problem…”
Get full text
Journal Article -
15
Self-adaptive forward–backward splitting algorithm for the sum of two monotone operators in Banach spaces
ISSN: 2730-5422, 2730-5422Published: Cham Springer International Publishing 06.12.2022Published in Fixed point theory and algorithms for sciences and engineering (06.12.2022)“…In this work, we prove the weak convergence of a one-step self-adaptive algorithm to a solution of the sum of two monotone operators in 2-uniformly convex and…”
Get full text
Journal Article -
16
A New Accelerated Forward–Backward Splitting Algorithm for Monotone Inclusions with Application to Data Classification
ISSN: 2227-7390, 2227-7390Published: Basel MDPI AG 01.09.2025Published in Mathematics (Basel) (01.09.2025)“…This paper proposes a new accelerated fixed-point algorithm based on a double-inertial extrapolation technique for solving structured variational inclusion and…”
Get full text
Journal Article -
17
A stochastic inertial forward-backward splitting algorithm for multivariate monotone inclusions
ISSN: 0233-1934, 1029-4945Published: Philadelphia Taylor & Francis 02.06.2016Published in Optimization (02.06.2016)“…We propose an inertial forward-backward splitting algorithm to compute a zero of a sum of two monotone operators allowing for stochastic errors in the computation of the operators…”
Get full text
Journal Article -
18
Impact Load Identification with Uniform Noise Based on Forward-backward Splitting Algorithm
ISSN: 1742-6588, 1742-6596Published: Bristol IOP Publishing 01.07.2023Published in Journal of physics. Conference series (01.07.2023)“…In this paper, the forward-backward splitting method is introduced for the first time to solve the impact load identification problem under the condition of…”
Get full text
Journal Article -
19
A modified projective bi-inertial forward-backward splitting algorithm for detecting bone mineral density
ISSN: 1513-1874Published: 01.11.2024Published in ScienceAsia : journal of the Science Society of Thailand (01.11.2024)“…Abstract only…”
Get full text
Journal Article -
20
Pre-service mathematics teachers' performance prediction using a modified Mann-Tseng forward-backward splitting algorithm
ISSN: 2008-949X, 2008-949XPublished: 01.01.2024Published in Journal of Mathematics and Computer Science (01.01.2024)Get full text
Journal Article