Solving Split Common Fixed-Point Problem of Firmly Quasi-Nonexpansive Mappings without Prior Knowledge of Operators Norms by Jing Zhao, Hang Zhang

“…Very recently, Moudafi introduced alternating CQ-algorithms and simultaneous iterative algorithms for the split common fixed-point problem concerned two bounded linear operators. …”
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RIS-assisted terahertz frequency band vehicle network capacity optimization by Fatang CHEN, Xiaoling LIU, Dan WANG, Ruofan ZHANG

“…In order to alleviate the spectrum scarcity and capacity limitation of the current wireless system, the terahertz frequency band was introduced and the reconfigurable intelligent surface (RIS) was used for auxiliary communication to construct a downlink vehicle network.Considering the constraints of limited total system power, QoS constraints of cellular mobile users, and randomness constraints of vehicle and user locations, a hybrid optimization model was established for optimal power allocation and optimal deployment of RIS with the aim of maximizing the total rate of vehicle users.Based on the balance method, linear transformation method, and element elimination method, the original NP-hard problem was transformed into a convex optimization problem with complex correlation constraints and multivariate coupling.The inner layer iteration was based on the Lagrange multiplier method to solve the optimal power allocation, and the outer layer iteratively solved the optimal deployment of RIS based on a improved genetic algorithm.The simulation results show that rationally deploying the number and distribution density of RIS nodes based on optimal power allocation can save costs while achieving a higher target total capacity.…”
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A Cutting Plane and Level Stabilization Bundle Method with Inexact Data for Minimizing Nonsmooth Nonconvex Functions by Jie Shen, Dan Li, Li-Ping Pang

“…Another merit is that our algorithm makes a distinction between affine pieces that exhibit a convex or a concave behavior relative to the current iterate. Convergence to some kind of stationarity point is proved under some looser conditions.…”
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Some Results on Fixed and Best Proximity Points of Precyclic Self-Mappings by M. De la Sen

“…This paper is devoted to investigating the limit properties of distances and the existence and uniqueness of fixed points, best proximity points and existence, and uniqueness of limit cycles, to which the iterated sequences converge, of single-valued, and so-called, contractive precyclic self-mappings which are proposed in this paper. …”
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OPTIMAL SIMULATION DESIGN OF SPACEBORNE CONNECTOR by YU ChengYue, LIU Bo, WANG ChunPeng, XUE Chuang, AN MingXin

“…Free size optimization mathematical model, using OptiStruct optimization module for optimization simulation, a comparative analysis of the bolt loading before and after optimization, and a detailed description of the optimization iteration process; based on the optimization model, the size of the support plate is optimized design. …”
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Semantic Detection of Vehicle Violation Video Based on Computer 3D Vision by Yue Dai

“…The learning rate was set to 0.001 in the first 30,000 iterations and 0.0001 in the last 10,000 iterations. …”
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Comparison of the Performance of Pegasos and Traditional Models in the Task of Sentiment Classification of Product Reviews by Zhu Di

“…In the process of model hyperparameter tuning, the optimal number of iterations is 25 by comparing the classification accuracy under different iterations.…”
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The Incident Field Optimization Method for the Electromagnetic Inverse Problems by Hao Li, Lijia Chen, Jinghui Qiu

“…For the conventional iterative inversion methods, the incident field is a prior knowledge and is usually obtained by the calibration process. …”
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On nonlinear variational inequalities by Muhammed Aslam Noor

“…The fixed point technique is used to prove the existence of a solution for a class of nonlinear variational inequalities related with odd order constrained boundary value problems and to suggest an iterative algorithm to compute the approximate solution.…”
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On Multivalued Nonexpansive Mappings in ℝ-Trees by K. Samanmit, B. Panyanak

“…Convergence theorems for the Ishikawa iteration processes are also discussed.…”
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Integral BVPs for a Class of First-Order Impulsive Functional Differential Equations by Xiaofei He, Jingli Xie, Guoping Chen, Jianhua Shen

“…The methods of lower and upper solutions and monotone iterative technique are employed to the study of integral boundary value problems for a class of first-order impulsive functional differential equations. …”
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Existence for Certain Systems of Nonlinear Fractional Differential Equations by Zhaowen Zheng, Xiujuan Zhang, Jing Shao

“…By establishing a comparison result and using the monotone iterative technique, combining with the method of upper and lower solutions, the existence of solutions for systems of nonlinear fractional differential equations is considered. …”
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Hybrid Steepest-Descent Methods for Triple Hierarchical Variational Inequalities by L. C. Ceng, A. Latif, C. F. Wen, A. E. Al-Mazrooei

“…We introduce and analyze a relaxed iterative algorithm by combining Korpelevich’s extragradient method, hybrid steepest-descent method, and Mann’s iteration method. …”
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Recursive Process for Constructing the Refinement Rules of New Combined Subdivision Schemes and Its Extended Form by Rabia Hameed, Ghulam Mustafa, Jiansong Deng, Shafqat Ali

“…Thus, we get a new subdivision scheme at each iteration. Moreover, the complexity, polynomial reproduction, and polynomial generation of the schemes are increased by two at each iteration. …”
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Adaptive Improved Q-Learning Path Planning Algorithm Based on Obstacle Learning Matrix and Artificial Potential Field by Lieping Zhang, Hongyuan Chen, Xiaoxu Shi, Jianchu Zou, Yilin Wang

“…First, an obstacle learning matrix is established to store the positions of obstacles encountered in each learning iteration, avoiding redundant learning of the same obstacle. …”
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AN EFFICIENT DEPTH-FIRST SEARCH ALGORITHM FOR SOLVING THE MAXIMUM STABLE MARRIAGE PROBLEM WITH TIES AND INCOMPLETE LISTS by Le Quoc Anh, Hoang Huu Viet, Dinh Van Nam

“…The key idea of the algorithm is to initialize an empty matching and mark all men as unmatched. In each iteration, an unmatched man proposes to the most preferred woman on his rank list. …”
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Existence of Positive Solutions for a Nonlinear Higher-Order Multipoint Boundary Value Problem by Min Zhao, Yongping Sun

“…By applying a monotone iterative method, some existence results of positive solutions are obtained. …”
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A Convenient Adomian-Pade Technique for the Nonlinear Oscillator Equation by Na Wei, Cheng-Xi Liu, Teng Hu, Fu-Cai You

“…This paper combines this technique and the Pade approximation to develop some new iteration schemes. Then, the combined method is applied to nonlinear models and the residual functions illustrate the accuracies and conveniences.…”
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High Performance Frequent Subgraph Mining on Transaction Datasets: A Survey and Performance Comparison by Bismita S. Jena, Cynthia Khan, Rajshekhar Sunderraman

“…Although MapReduce came with many benefits, its disk I/O and non-iterative style model could not help much for FSM domain since subgraph mining process is an iterative approach. …”
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Epidemiology, management and patient needs in myasthenia gravis: an Italian multistakeholder consensus based on Delphi methodology by Renato Mantegazza, Giuseppe Limongelli, Carlotta Galeone, Francesco Habetswallner, Raffaele Iorio, Giuseppina Annicchiarico, Maria Bonaria Uccheddu, Paolo Mariani

“…Objectives To provide comprehensive information on the burden of myasthenia gravis (MG) in Italy, including the unmet needs of patients and several other aspects related to the disease, based on skilled viewpoints of MG experts.Design Iterative analysis conducted in accordance with the best practices of the Delphi method, including anonymity, controlled feedback, and statistical stability of consensus.Setting and participants 24 clinicians, 18 public health experts and 4 patient associations experts completed all the Delphi iterations between 18 April and 3 July 2023, for a total of 46 participants from several Italian Regions.Outcome measures Five areas of investigation related to MG were examined: epidemiology in Italy and characteristics of disease; diagnostic issues and Italian patient journey; unmet needs during the acute and chronic phases of MG; quality of life; public health management of MG. …”
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