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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On the Solutions Fractional Riccati Differential Equation with Modified Riemann-Liouville Derivative by Mehmet Merdan

“…Fractional variational iteration method (FVIM) is performed to give an approximate analytical solution of nonlinear fractional Riccati differential equation. …”
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Energy-efficient optimization algorithm based on vertical beamforming for 3D MIMO-OFDMA system by Ting LI, Linjie QIU, Wei JI

“…An energy-efficient optimization algorithm was proposed for the 3D MIMO-OFDMA communication system.The proposed algorithm based on vertical beamforming technology maximized energy efficiency by adjusting the resource allocation,power allocation and the downtitles of the beam.According to the theory of fractional optimization,the complex fractional optimization problem could be converted into a more tractable integral optimization problem.The lagrangian operator was introduced to obtain the optimal value of energy efficiency by iteration.Simulation results show that the proposed algorithm can achieve higher energy efficiency with fewer iterations.…”
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On the Construction of a Two-Step Sixth-Order Scheme to Find the Drazin Generalized Inverse by Keyang Zhang, Fazlollah Soleymani, Stanford Shateyi

“…This study introduces a numerically efficient iterative solver for computing the Drazin generalized inverse, addressing a critical need for high-performance methods in matrix computations. …”
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Non-Convex Split Feasibility Problems: Models, Algorithms and Theory by Gibali, Aviv, Sabach, Shoham, Voldman, Sergey

“…In this paper, we propose a catalog of iterative methods for solving the Split Feasibility Problem in the non-convex setting. …”
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Hybrid Extragradient Method with Regularization for Convex Minimization, Generalized Mixed Equilibrium, Variational Inequality and Fixed Point Problems by Lu-Chuan Ceng, Juei-Ling Ho

“…We prove some strong and weak convergence theorems for the proposed iterative algorithms under mild conditions.…”
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The General Hybrid Approximation Methods for Nonexpansive Mappings in Banach Spaces by Rabian Wangkeeree

“…Strong convergence theorems of the proposed iterative methods are obtained in a reflexive Banach space which admits a weakly continuous duality mapping. …”
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Numerical Calculation of Optimal Policy Pairs in Zero-sum Stochastic Games with Varying Discount Factors by Xiao Wu, Yanqiu Tang

“…First, the expected discount criterion, ε −optimal values, and policy pairs are defined for zero-sum stochastic game model. Then, an iterative algorithm is given and the correctness of the algorithm is verified. …”
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Tight analyses for subgradient descent I: Lower bounds by Harvey, Nicholas J. A., Liaw, Chris, Randhawa, Sikander

“…We construct a function from this class for which the $Tþ$ iterate of subgradient descent has error $\Omega (\log (T)/\sqrt{T})$. …”
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Positive Solutions for Three-Point Boundary Value Problem of Fractional Differential Equation with -Laplacian Operator by Shang-lin Yao, Guo-hui Wang, Zhi-ping Li, Li-jun Yu

“…By applying monotone iterative technique, some sufficient conditions for the existence of multiple positive solutions are established; moreover iterative schemes for approximating these solutions are also obtained, which start off a known simple linear function. …”
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A new relaxation technique based on fractional representation to solve bilinear models: Application to the long horizon crude oil scheduling problem by Mohammad Nasir Yarahmadi, Seyyed Ali MirHassani, Farnaz Hooshmand

“…This technique is embedded into an iterative two-step MILP-NLP algorithm based on piecewise relaxation and domain reduction strategies. …”
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Link optimization strategy based on spectral moment in wireless sensor network by Qing-song CAI, Xi-hou CHEN

“…In order to prolong the life of the wireless sensor network (WSN),an adaptive local communication link optimization algorithm of nodes was proposed to optimize the network structure dynamically.By introducing the term of Laplacian spectrum moment,each node can make the decision of adding or deleting a link iteratively with their neighborsusinglimited local network structural information,and then the whole network can evolve to a predefined structure.The experimental results show that each node takes only finite iterations and then the network structure can converge quickly to the target,which prove the effectiveness of the algorithm.…”
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A New Implementable Prediction-Correction Method for Monotone Variational Inequalities with Separable Structure by Feng Ma, Mingfang Ni, Zhanke Yu

“…At each iteration, the algorithm also allows the involved subvariational inequalities to be solved in parallel. …”
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A convergent Deep Learning algorithm for approximation of polynomials by Després, Bruno

“…We propose a novel algorithm, where the functional equation is solved with a converging iterative algorithm which can be realized as a Machine Learning training method iteratively with respect to the number of layers. …”
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Strong Convergence Theorems for Countable Families of Uniformly Quasi-ϕ-Asymptotically Nonexpansive Mappings and a System of Generalized Mixed Equilibrium Problems by Siwaporn Saewan, Poom Kumam

“…Furthermore, we prove that our new iterative scheme converges strongly to a common element of the aforementioned sets. …”
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A Legendre Wavelet Spectral Collocation Method for Solving Oscillatory Initial Value Problems by A. Karimi Dizicheh, F. Ismail, M. Tavassoli Kajani, Mohammad Maleki

“…In this paper, we propose an iterative spectral method for solving differential equations with initial values on large intervals. …”
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A New System of Multivalued Mixed Variational Inequality Problem by Xi Li, Xue-song Li

“…The results concerned with the existence of solutions and the convergence of iterative sequences generated by the perturbational algorithm are also given. …”
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Mathematical Model and Solution for Fingering Phenomenon in Double Phase Flow through Homogeneous Porous Media by Piyush R. Mistry, Vikas H. Pradhan, Khyati R. Desai

“…An approximate analytical solution of the governing nonlinear partial differential equation is obtained using variational iteration method with the use of Mathematica software.…”
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Finite Element Model Updating Using FRF Measurements by Farid Asma, Amar Bouazzouni

“…The linearisation of the numerical system leads to an iterative procedure. An intrinsic frequency parametrization is proposed in order to accelerate the convergence of the iterative system. …”
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Optimized method of generating the spread-spectrum sequences based on Logistic-map by LIU Ping, YAN Chuan, HUANG Xian-gao

“…Based on the Logistic-map,an optimized method of generating the spread-spectrum sequences was proposed.An initial value was given and iterated in the Logistic map,then L bit qualification was done to every point,in this way,new spread spectrum sequence would be achieved by shorten.It was compared with conventional chaotic code and Gold code and finally simulated in the DS-CDMA systems.Experiment results show that the iterative times are reduced,the calculating speed is improved,the spread-spectrum sequences can be reshaped with any length and the number of these sequences is larger than Gold sequence in being.The best quantification order is got too.…”
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