An inertial iterative method for solving split equality problem in Banach spaces by Meiying Wang, Luoyi Shi, Cuijuan Guo

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A New Three-step Iterative Method for Solving Nonlinear Equations by M. Matin Far, M. Aminzadeh, S. Asadpour

“…In this paper, a new three-step iterative method for finding a simple root of the nonlinear equation of f(x) = 0 will be introduced. …”
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Stability data dependency and errors estimation for a general iteration method by Aftab Hussain, Danish Ali, Erdal Karapinar

“…In this paper, we present a result of stability, data Dependency and errors estimation for D Iteration Method. We also prove that errors in D iterative process is controllable. …”
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On convergence of He’s variational iteration method for nonlinear partial differential equations by Jafar Saberi -Nadjafi, Asghar Ghorbani

Subjects: “…variational iteration method…”
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Parametric Family of Root-Finding Iterative Methods: Fractals of the Basins of Attraction by José J. Padilla, Francisco I. Chicharro, Alicia Cordero, Juan R. Torregrosa

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Yosida Approximation Iterative Methods for Split Monotone Variational Inclusion Problems by Mohammad Dilshad, Abdulrahman F. Aljohani, Mohammad Akram, Ahmed A. Khidir

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On some Steffensen-type iterative methods for a class of nonlinear equations by Emil Cătinaş

“…The Newton method cannot be applied for solving the nonlinear equation \(H(x)=0\), and we propose an iterative method for solving this equation by combining the Newton method with the Steffensen method: \[x_{k+1} = \big(F^\prime(x_k)+[x_k,\varphi(x_k);G]\big)^{-1}(F(x_k)+G(x_k)),\] where \(\varphi(x)=x-\lambda (F(x)+G(x))\), \(\lambda >0\) fixed. …”
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On the Alternative SOR-like Iteration Method for Solving Absolute Value Equations by Yiming Zhang, Dongmei Yu, Yifei Yuan

“…In this paper, by equivalently reformulating the absolute value equation (AVE) into an alternative two-by-two block nonlinear equation, we put forward an alternative SOR-like (ASOR-like) iteration method to solve the AVE. The convergence of the ASOR-like iteration method is established, subjecting to specific restrictions placed on the associated parameter. …”
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Generalized high-order iterative methods for solutions of nonlinear systems and their applications by G Thangkhenpau, Sunil Panday, Bhavna Panday, Carmen E. Stoenoiu, Lorentz Jäntschi

Subjects: “…iterative methods…”
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Application of iterative methods for solving operator equations and improving convergence conditions by S. Groze, B. Janko

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A Family of Newton Type Iterative Methods for Solving Nonlinear Equations by Xiaofeng Wang, Yuping Qin, Weiyi Qian, Sheng Zhang, Xiaodong Fan

Subjects: “…multipoint iterative methods…”
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On some interpolatory iterative methods for the second degree polynomial operators (I) by Emil Cătinaş, I Păvăloiu

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Iterative methods for vector equilibrium and fixed point problems in Hilbert spaces by San-hua Wang, Yu-xin Zhang, Wen-jun Huang

“…Then, by applying the Minty vector equilibrium problem, projection iterative methods are proposed and some convergence results are established in Hilbert spaces. …”
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A Mixed Transmission Estimation Iterative Method for Single Image Dehazing by Shu Yang, Ziyi Sun, Qun Jiang, Yunfeng Zhang, Fangxun Bao, Peide Liu

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On some interpolatory iterative methods for the second degree polynomial operators (II) by Emil Cătinaş, Ion Păvăloiu

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On the convergence of simulation-based iterative methods for solving singular linear systems by Mengdi Wang, Dimitri P. Bertsekas

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THE PROGRAM ITERATIONS METHOD IN GAME PROBLEM OF GUIDANCE AND SET-VALUED QUASISTRATEGIES by Alexander G. Chentsov

“…We consider a differential game of guidance-evasion, which is solved with the program iterations method. The iterated procedure is realized in the space of sets, the elements of which are the game's positions. …”
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Airfoil Optimization Design Based on the Pivot Element Weighting Iterative Method by Xinqiang Liu, Weiliang He

Subjects: “…pivot element weighting iterative method…”
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Extending the Applicability of Highly Efficient Iterative Methods for Nonlinear Equations and Their Applications by Ramandeep Behl, Ioannis K. Argyros, Fouad Othman Mallawi, Samaher Khalaf Alharbi

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A special shift splitting iteration method for absolute value equation by ShiLiang Wu, CuiXia Li

“…In this paper, based on the shift splitting (SS) technique, we propose a special SS iteration method for solving the absolute value equation (AVE), which is obtained by reformulating equivalently the AVE as a two-by-two block nonlinear equation. …”
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