Iterative methods for solving fixed-point problems with nonself-mappings in Banach spaces by Yakov Alber, Simeon Reich, Jen-Chih Yao

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Iterative algorithm for locating nodes in WSN based on modifying average hopping distances by LIN Jin-zhao1, CHEN Xiao-bing1, LIU Hai-bo1

“…The procedure of the iterative locating algorithm based on modifying average hopping distances and the simulation results were also shown. …”
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Convergence of a Two-Step Iterative Method for Nondifferentiable Operators in Banach Spaces by Abhimanyu Kumar, Dharmendra K. Gupta, Eulalia Martínez, Sukhjit Singh

“…The semilocal and local convergence analyses of a two-step iterative method for nonlinear nondifferentiable operators are described in Banach spaces. …”
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An Iteration-Time Combination Method to Reduce the Dynamic Degradation of Digital Chaotic Maps by Yao Wu, Lingfeng Liu

“…A new and improved method based on the number of iterations is proposed to reduce the dynamical degradation of the digital chaotic map in this study. …”
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Convergence of an Iterative Algorithm for Common Solutions for Zeros of Maximal Accretive Operator with Applications by Uamporn Witthayarat, Yeol Je Cho, Poom Kumam

“…The aim of this paper is to introduce an iterative algorithm for finding a common solution of the sets (A+M2)−1(0) and (B+M1)−1(0), where M is a maximal accretive operator in a Banach space and, by using the proposed algorithm, to establish some strong convergence theorems for common solutions of the two sets above in a uniformly convex and 2-uniformly smooth Banach space. …”
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Variational Iteration Decomposition Method for Solving Eighth-Order Boundary Value Problems by Muhammad Aslam Noor, Syed Tauseef Mohyud-Din

“…We implement a relatively new analytical technique, the variational iteration decomposition method (VIDM), for solving the eighth-order boundary value problems. …”
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Modified Step Variational Iteration Method for Solving Fractional Biochemical Reaction Model by R. Yulita Molliq, M. S. M. Noorani, R. R. Ahmad, A. K. Alomari

“…A new method called the modification of step variational iteration method (MoSVIM) is introduced and used to solve the fractional biochemical reaction model. …”
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Companding transform technique combined with iterative filtering for reducing PAPR of OFDM signals by Chao YANG, Yong WANG, Jian-hua GE

“…Considering the drawbacks of the traditional companding transforms，an efficient companding scheme combined with iterative filtering was proposed to reduce the peak-to-average power ratio (PAPR) of orthogonal frequency division multiplexing (OFDM) signals.By introducing a joint optimization approach for PAPR and bit error rate (BER) performances along with remaining an unchanged average output power level，the scheme could achieve significant reduction in PAPR as well as an improved BER simultaneously.Moreover，by adaptively adjusting the transform parameters in the iterative process，more design flexibility in companding form and lower out-of-band radiation could also be given to satisfy various system requirements.The proposed scheme had a simple functional form and less computational complexity.The theoretical results regarding the transform gain and impact of companding distortion were derived.Simulation results show that this scheme can substantially offer better overall performances in terms of PAPR reduction，BER performance and bandwidth efficiency.…”
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N*-Iteration Approach for Approximation of Fixed Points in Uniformly Convex Banach Space by Raghad I. Sabri

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Application of Adaptive Local Iterative Filtering and Fuzzy Entropy in Gear Fault Identification by Wenbin Zhang, Jie Jiang, Yasong Pu, Libin Yu, Dewei Guo, Jie Min

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Iterative Learning Control with Forgetting Factor for Linear Distributed Parameter Systems with Uncertainty by Xisheng Dai, Senping Tian, Wenguang Luo, Yajun Guo

“…Iterative learning control is an intelligent control algorithm which imitates human learning process. …”
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Couple of the Variational Iteration Method and Legendre Wavelets for Nonlinear Partial Differential Equations by Fukang Yin, Junqiang Song, Xiaoqun Cao, Fengshun Lu

“…This paper develops a modified variational iteration method coupled with the Legendre wavelets, which can be used for the efficient numerical solution of nonlinear partial differential equations (PDEs). …”
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On Some Iterative Methods with Memory and High Efficiency Index for Solving Nonlinear Equations by Tahereh Eftekhari

“…Based on iterative methods without memory of eighth-order convergence proposed by Thukral (2012), some iterative methods with memory and high efficiency index are presented. …”
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A Novel and Efficient Iterative Approach to Approximating Solutions of Fractional Differential Equations by Doaa Filali, Nidal H. E. Eljaneid, Adel Alatawi, Esmail Alshaban, Montaser Saudi Ali, Faizan Ahmad Khan

Subjects: “…iteration methods…”
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Iterative Construction of Fixed Points for Operators Endowed with Condition E in Metric Spaces by Junaid Ahmad, Kifayat Ullah, Hüseyin Işik, Muhammad Arshad, Manuel de la Sen

“…We provide some strong and Δ-convergence theorems for this class of mappings under the Agarwal iterative process. In order to support the main outcome, we procure an example of mappings endowed with the condition E and prove that its Agarwal iterative process is more effective than Mann and Ishikawa iterative processes. …”
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Inertial Iteration for Split Common Fixed-Point Problem for Quasi-Nonexpansive Operators by Yazheng Dang, Yan Gao

“…Inspired by the note on split common fixed-point problem for quasi-nonexpansive operators presented by Moudafi (2011), based on the very recent work by Dang et al. (2012), in this paper, we propose an inertial iterative algorithm for solving the split common fixed-point problem for quasi-nonexpansive operators in the Hilbert space. …”
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A computationally efficient non‐iterative four‐parameter sine fitting method by Balázs Renczes, Vilmos Pálfi

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Reconsiderations on the Equivalence of Convergence between Mann and Ishikawa Iterations for Asymptotically Pseudocontractive Mappings by Haizhen Sun, Zhiqun Xue

“…Our aim in this paper is to illustrate that the proof of main theorem of Rhoades and Şoltuz (2003) concerning the equivalence between the convergences of Ishikawa and Mann iterations for uniformly L-Lipschitzian asymptotically pseudocontractive maps is incorrect and to provide its correct version.…”
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Variational Iteration Method of Dropping Shock Response for the Suspension Spring Packaging System by Shuang Song, An-Jun Chen

“…In accordance with dropping shock dimensionless cubic nonlinear dynamic equation of suspension spring system, by variational iteration method, a first-order approximate solution of the system was obtained. …”
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Impulsive noise mitigation based on iteration adaptive approach in underwater acoustic communication by Guili ZHOU, Youming LI, Mingchen YU, Xiaoli WANG

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