Fractional Dynamics: Applications of the Caputo Operator in Solving the Sawada–Kotera and Rosenau–Hyman Equations by Khudhayr A. Rashedi, Musawa Yahya Almusawa, Hassan Almusawa, Tariq S. Alshammari, Adel Almarashi

Subjects: “…Mohand variational iteration method (MVIM)…”
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An Alternative HSS Preconditioner for the Unsteady Incompressible Navier-Stokes Equations in Rotation Form by Jia Liu

“…We study the preconditioned iterative method for the unsteady Navier-Stokes equations. …”
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Approximating the Inverse of a Square Matrix with Application in Computation of the Moore-Penrose Inverse by F. Soleymani, M. Sharifi, S. Shateyi

“…This paper presents a computational iterative method to find approximate inverses for the inverse of matrices. …”
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Multiple-Set Split Feasibility Problems for Asymptotically Strict Pseudocontractions by Shih-Sen Chang, Yeol Je Cho, J. K. Kim, W. B. Zhang, L. Yang

“…In this paper, we introduce an iterative method for solving the multiple-set split feasibility problems for asymptotically strict pseudocontractions in infinite-dimensional Hilbert spaces, and, by using the proposed iterative method, we improve and extend some recent results given by some authors.…”
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Hybrid Iterative Scheme by a Relaxed Extragradient Method for Equilibrium Problems, a General System of Variational Inequalities and Fixed-Point Problems of a Countable Family of N... by Qiao-Li Dong, Yan-Ni Guo, Fang Su

“…Furthermore, we prove the strong convergence theorem of the studied iterative method. The results of this paper extend and improve the results of Ceng et al., (2008), W. …”
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An Explicit Method for the Split Feasibility Problem with Self-Adaptive Step Sizes by Youli Yu

“…An explicit iterative method with self-adaptive step-sizes for solving the split feasibility problem is presented. …”
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Secured Wireless Network Based on a Novel Dual Integrated Neural Network Architecture by H. V. Ramachandra, Pundalik Chavan, S. Supreeth, H. C. Ramaprasad, K. Chatrapathy, G. Balaraju, S. Rohith, H. S. Mohan

“…DINN is evaluated considering the various machine learning attack such as basic_iterative_method attack, momentum_iterative_method attack, post_gradient_descent attack, and C&W attack; comparison is carried out on existing and DINN, considering attack success rate and MSE. …”
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Securing Brain-to-Brain Communication Channels Using Adversarial Training on SSVEP EEG by Hossein Ahmadi, Ali Kuhestani, Mohammadreza Keshavarzi, Luca Mesin

“…We utilized a combined Convolutional Neural Network-Temporal Convolutional Network (CNN-TCN) architecture to classify the data and assessed the system’s resistance to various adversarial strategies, including Fast Gradient Sign Method (FGSM), Projected Gradient Descent (PGD), Basic Iterative Method (BIM), Carlini & Wagner (C&W), and Momentum Iterative Method (MIM). …”
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Norm-Constrained Least-Squares Solutions to the Matrix Equation AXB=C by An-bao Xu, Zhenyun Peng

“…An iterative method to compute the least-squares solutions of the matrix AXB=C over the norm inequality constraint is proposed. …”
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Explicit Scheme for Fixed Point Problem for Nonexpansive Semigroup and Split Equilibrium Problem in Hilbert Space by Pei Zhou, Gou-Jie Zhao

“…We establish an iterative method for finding a common element of the set of fixed points of nonexpansive semigroup and the set of split equilibrium problems. …”
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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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Monotone Iterative Schemes for Positive Solutions of a Fractional q-Difference Equation with Integral Boundary Conditions on the Half-Line by Min Jiang, Rengang Huang

“…Using the properties of the Green function and monotone iterative method, the extremal solutions are obtained. …”
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Bregman distances, totally convex functions, and a method for solving operator equations in Banach spaces

“…Second, we employ existing results on total convexity, sequential consistency, uniform convexity and relative projections in order to define and study the convergence of a new Bregman type iterative method of solving operator equations.</p>…”
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New Iterative Manner Involving Sunny Nonexpansive Retractions for Pseudocontractive Mappings by Yaqin Zheng, Jinwei Shi

“…Iterative methods for pseudocontractions have been studied by many authors in the literature. …”
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Approximations for Equilibrium Problems and Nonexpansive Semigroups by Huan-chun Wu, Cao-zong Cheng

“…We introduce a new iterative method for finding a common element of the set of solutions of an equilibrium problem and the set of all common fixed points of a nonexpansive semigroup and prove the strong convergence theorem in Hilbert spaces. …”
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Convergence theorems and stability results for Lipschitz strongly pseudocontractive operators by Zeqing Liu, Lili Zhang, Shin Min Kang

“…It is proved that under certain conditions the Ishikawa iterative method with errors converges strongly to the fixed point of T and this iteration procedure is stable with respect to T.…”
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A Strong Convergence Theorem for Total Asymptotically Pseudocontractive Mappings in Hilbert Spaces by Chuan Ding, Jing Quan

“…The strong convergence to a fixed point of total asymptotically pseudocontraction in Hilbert spaces is obtained based on demiclosedness principle, metric projective operator, and hybrid iterative method. The main results presented in this paper extend and improve the corresponding results of Zhou (2009), Qin, Cho, and Kang (2011) and of many other authors.…”
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Average Bandwidth Allocation Model of WFQ by Tomáš Balogh, Martin Medvecký

“…We present a new iterative method for the calculation of average bandwidth assignment to traffic flows using a WFQ scheduler in IP based NGN networks. …”
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New Approximate Analytical Solutions of the Falkner-Skan Equation by Beong In Yun

“…We propose an iterative method for solving the Falkner-Skan equation. …”
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Weak Convergence Theorems for Strictly Pseudocontractive Mappings and Generalized Mixed Equilibrium Problems by Jong Soo Jung

“…We introduce a new iterative method for finding a common element of the set of fixed points of a strictly pseudocontractive mapping, the set of solutions of a generalized mixed equilibrium problem, and the set of solutions of a variational inequality problem for an inverse-strongly-monotone mapping in Hilbert spaces and then show that the sequence generated by the proposed iterative scheme converges weakly to a common element of the above three sets under suitable control conditions. …”
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