Masses of Single, Double, and Triple Heavy Baryons in the Hyper-Central Quark Model by Using GF-AEIM by M. Abu-shady, H. M. Fath-Allah

“…By using the generalized fractional analytical iteration method (GF-AEIM), the single, the double, and the triple heavy baryons masses are calculated in the hyper-central model in the two cases. …”
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Computing the Fixed Points of Strictly Pseudocontractive Mappings by the Implicit and Explicit Iterations by Yeong-Cheng Liou

“…In this paper, we devote to study computing the fixed points of strictly pseudocontractive mappings by the iterations. Two iterative methods (one implicit and another explicit) for finding the fixed point of strictly pseudocontractive mappings have been constructed in Hilbert spaces. …”
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An Accelerated Homotopy Perturbation Method for Solving Nonlinear Two-Dimensional Volterra-Fredholm Integrodifferential Equations by F. A. Hendi, M. M. Al-Qarni

“…We propose and apply coupling of the variational iteration method (VIM) and homotopy perturbation method (HPM) to solve nonlinear mixed Volterra-Fredholm integrodifferential equations (VFIDE). …”
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Numerical Scheme for Finding Roots of Interval-Valued Fuzzy Nonlinear Equation with Application in Optimization by Ahmed Elmoasry, Mudassir Shams, Naveed Yaqoob, Nasreen Kausar, Yaé Ulrich Gaba, Naila Rafiq

“…In this research article, we propose efficient numerical iterative methods for estimating roots of interval-valued trapezoidal fuzzy nonlinear equations. …”
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Multistep High-Order Methods for Nonlinear Equations Using Padé-Like Approximants by Alicia Cordero, José L. Hueso, Eulalia Martínez, Juan R. Torregrosa

“…We present new high-order optimal iterative methods for solving a nonlinear equation, f(x)=0, by using Padé-like approximants. …”
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Variational Iteration Decomposition Method for Solving Eighth-Order Boundary Value Problems by Muhammad Aslam Noor, Syed Tauseef Mohyud-Din

“…The proposed method is an elegant combination of variational iteration method and decomposition method. The analytical results of the equations have been obtained in terms of convergent series with easily computable components. …”
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An Efficient Variational Method for Image Restoration by Jun Liu, Ting-Zhu Huang, Xiao-Guang Lv, Si Wang

“…To solve this problem, we employ the split Bregman iteration method and the Chambolle’s algorithm. The convergence property of the algorithm is established. …”
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Iterative Algorithms for General Multivalued Variational Inequalities by Yonghong Yao, Muhammad Aslam Noor, Yeong-Cheng Liou, Shin Min Kang

“…This equivalence is used to suggest and analyze some iterative methods for solving the general multivalued variational in equalities in conjunction with nonexpansive mappings. …”
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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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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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Semianalytical Approach for the Approximate Solution of Delay Differential Equations by Xiankang Luo, Mustafa Habib, Shazia Karim, Hanan A. Wahash

“…The beauty of this approach is that it does not need to compute the values of the Lagrange multiplier as in the variational iteration method, and also, there is no need to implement the convolution theorem as in the Laplace transform. …”
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The Mann-Type Extragradient Iterative Algorithms with Regularization for Solving Variational Inequality Problems, Split Feasibility, and Fixed Point Problems by Lu-Chuan Ceng, Himanshu Gupta, Ching-Feng Wen

“…These iterative algorithms are based on the regularization method, the Mann-type iteration method, and the extragradient method due to Nadezhkina and Takahashi (2006). …”
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The Equivalent Linearization Method with a Weighted Averaging for Solving Undamped Nonlinear Oscillators by D. V. Hieu, N. Q. Hai, D. T. Hung

“…The results obtained via this method are compared with the ones achieved by Parameterized Perturbation Method (PPM), Min–Max Approach (MMA), Variational Iteration Method (VIM), Homotopy Perturbation Method (HPM), Energy Balance Method (EBM), Harmonic Balance Method (HBM), 4th-Order Runge-Kutta Method, and the exact ones. …”
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Recursive Elucidation of Polynomial Congruences Using Root-Finding Numerical Techniques by M. Khalid Mahmood, Farooq Ahmad

“…For this purpose, root-finding iterative methods are employed for solving polynomial congruences of the form axn≡b(mod pk), k≥1, where a,b, and n>0 are integers which are not divisible by an odd prime p. …”
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Analytical Solutions of Boundary Values Problem of 2D and 3D Poisson and Biharmonic Equations by Homotopy Decomposition Method by Abdon Atangana, Adem Kılıçman

“…The method does not require any corrected function or any Lagrange multiplier and it avoids repeated terms in the series solutions compared to the existing decomposition method including the variational iteration method, the Adomian decomposition method, and Homotopy perturbation method. …”
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Numerical Solution for the 2D Linear Fredholm Functional Integral Equations by Neda Khaksari, Mahmoud Paripour, Nasrin Karamikabir

“…Using the proposed method, we get a system of linear algebraic equations which are solved by an iteration method. In the end, the accuracy and applicability of the proposed method are shown through some numerical applications.…”
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Novel Investigation of Fractional-Order Cauchy-Reaction Diffusion Equation Involving Caputo-Fabrizio Operator by Meshari Alesemi, Naveed Iqbal, Mohammed S. Abdo

“…Yang transformation is mixed with the new iteration method and homotopy perturbation method in these methods. …”
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Existence Results for a Perturbed Problem Involving Fractional Laplacians by Yan Hu

“…First, for odd nonlinearity f and for every s∈(0,1), we prove that there exists a layer solution via the monotone iteration method. Besides, existence results are obtained by variational methods for s∈(1/2,1) and for more general nonlinearities. …”
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Blow-Up Results for a Weakly Coupled System of Semilinear Wave Equations in de Sitter Spacetime by Jie Yang, Xia Ma, Caiyun Liu

“…The exponential, polynomial, and logarithmic growth of time-dependent factors in nonlinear terms are investigated by using iterative methods, respectively. Upper bound lifespan estimates of solutions to the problem are established. …”
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King-Type Derivative-Free Iterative Families: Real and Memory Dynamics by F. I. Chicharro, A. Cordero, J. R. Torregrosa, M. P. Vassileva

“…A biparametric family of derivative-free optimal iterative methods of order four, for solving nonlinear equations, is presented. …”
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