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1. Modified Extragradient Methods with Inertial Technique for Solving Pseudo-Monotone Variational Inequality Problems NSTL国家科技图书文献中心

Qingqing Fu |  Gang Cai... -  《Journal of scientific computing》 - 2025,102(3) - 1.1~1.28 - 共28页

摘要: inertial technique for solving pseudo-monotone | Abstract In this paper, based on Mann-type and |  Halpern-type algorithms, we introduce two modified |  extragradient algorithms with novel stepsize rules and |  variational inequality problems in Hilbert and reflexive
关键词: 47H05 |  47H07 |  47H10 |  54H25

2. A Family of Inertial Three-Term CGPMs for Large-Scale Nonlinear Pseudo-Monotone Equations With Convex Constraints NSTL国家科技图书文献中心

Jian, Jinbao |  Huang, Qiongxuan... -  《Numerical linear algebra with applications》 - 2025,32(1) - n/a~n/a - 共17页

摘要: the inertial technique for solving large-scale |  the first iteration-complexity analysis for inertial | , showing its superiority over three existing inertial | This article presents and analyzes a family of |  three-term conjugate gradient projection methods with
关键词: conjugate gradient projection method |  convergence rate |  global convergence |  inertial technique |  pseudo-monotone equations |  pseudo‐monotone equations

3. An inertial-type algorithm for a class of bilevel variational inequalities with the split variational inequality problem constraints NSTL国家科技图书文献中心

Thuy, Nguyen Thi Thu |  Nghia, Nguyen Trung -  《Optimization》 - 2025,74(1/4) - 589~613 - 共25页

摘要: algorithms are accelerated by the inertial technique and | In this paper, we investigate the problem of |  solving strongly monotone variational inequalities over |  the solution set of the split variational inequality |  problem with multiple output sets in real Hilbert spaces
关键词: Variational inequality problem |  split variational inequality |  inertial technique |  metric projection |  iterative algorithms

4. ADAPTIVE INERTIAL ALGORITHMS FOR SOLVING SPLIT MONOTONE VARIATIONAL INCLUSION AND FIXED POINT PROBLEMS OF DEMICONTRACTIVE MAPPINGS NSTL国家科技图书文献中心

Zhou, Zheng |  Tan, Bing... -  《Journal of nonlinear and convex analysis》 - 2025,26(3) - 653~671 - 共19页

摘要: inertial algorithms are introduced for approximating the | The purpose of this paper is to study the |  common solution of the split monotone variational |  inclusion and fixed point problem of demicontractive |  mappings in infinite-dimensional Hilbert spaces. Two
关键词: Adaptive step size |  inertial technique |  signal recovery |  strong conver-Hilbert

5. A subspace inertial method for derivative-free nonlinear monotone equations NSTL国家科技图书文献中心

Kimiaei, Morteza |  Ibrahim, Abdulkarim ...... -  《Optimization》 - 2025,74(1/4) - 269~296 - 共28页

摘要:We introduce a subspace inertial line search |  algorithm (SILSA), for finding solutions of nonlinear |  monotone equations (NME). At each iteration, a new point |  is generated in a subspace generated by the |  previous points. Of all finite points forming the
关键词: Monotone equations |  derivative-free optimization |  inertial technique |  global convergence |  complexity result

6. A new double relaxed inertial viscosity-type algorithm for split equilibrium problems and its application to detecting osteoporosis health problems NSTL国家科技图书文献中心

Yajai, Watcharaporn |  Liawrungrueang, Wong...... -  《Journal of Computational and Applied Mathematics》 - 2025,466 - 共16页

摘要: inertial viscosity-type algorithm for solving split | This article proposes a new double relaxed |  equilibrium problems; this algorithm is flexible to use by |  the relaxed extrapolation parameters in real numbers | . We obtain a strong convergence theorem under
关键词: Split equilibrium problems |  Double inertial technique |  Viscosity-type algorithm |  Classification |  Osteoporosis

7. Parallel inertial forward-backward splitting methods for solving variational inequality problems with variational inclusion constraints NSTL国家科技图书文献中心

Thang, Tran Van |  Tien, Ha Manh -  《Mathematical Methods in the Applied Sciences》 - 2025,48(1) - 748~764 - 共17页

摘要:The inertial forward-backward splitting |  mappings. By using parallel and inertial techniques and |  paper, we propose a new parallel inertial forward |  algorithm can be considered as a modified form of the |  forward-backward algorithm for variational inequality
关键词: forward-backward splitting method |  inertial technique |  monotonicity |  resolvent operator |  variational inequality problem |  forward–backward splitting method

8. Relaxed Two-Step Inertial Tseng's Extragradient Method for Nonmonotone Variational Inequalities NSTL国家科技图书文献中心

Thong, Duong Viet |  Anh, Pham Ky... -  《Journal of Optimization Theory and Applications》 - 2025,205(1) - 共27页

摘要:This work introduces a novel inertial |  projection method for solving the variational inequality |  (VI) without imposing the restrictive assumption of |  monotonicity on the cost operator. We establish global |  convergence of the proposed method under the condition that
关键词: Nonmonotone mapping |  Tseng's extragradient method |  Two step inertial technique |  Variational inequality |  Weak convergence

9. A novel adaptive event-triggered controller for exponential quasi-synchronization and synchronization problems to coupled inertial memristive neural networks with time delays☆ NSTL国家科技图书文献中心

Jiang, Ping |  Chen, Jiejie... -  《Journal of Computational and Applied Mathematics》 - 2025,460 - 共14页

摘要: inertial delayed memristive neural networks (CIDMNNs) via | In this paper, we study the quasi | -synchronization and synchronization problems for a coupled |  adaptive event-triggered control. An adaptive event | -triggered controller is designed, and a new Lyapunov
关键词: Inertial delayed memristive neural networks |  Adaptive technique |  Event-triggered strategy |  Exponential quasi-synchronization

10. A class of accelerated GADMM-based method for multi-block nonconvex optimization problems NSTL国家科技图书文献中心

Zhang, Kunyu |  Shao, Hu... -  《Numerical algorithms》 - 2025,98(2) - 943~985 - 共43页

摘要:. Then, we introduce an inertial technique and give the |  inertial proximal linearized GADMM. The convergence of | To improve the computational efficiency, based |  on the generalized alternating direction method of |  multipliers (GADMM), we consider a class of accelerated
关键词: Multi-block nonconvex and nonsmooth optimization |  Alternating direction method of multipliers |  Inertia |  Convergence rate
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