Efficient algorithms for solving nonlinear Volterra integro-differential equations with two point boundary conditions by L. E. Garey, R. E. Shaw

“…In the nonlinear case, an iterative procedure is required and is incorporated into the algorithms presented. …”
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A Laplace decomposition algorithm applied to a class of nonlinear differential equations by Suheil A. Khuri

“…The results assert that this scheme is rapidly convergent and quite accurate by which it approximates the solution using only few terms of its iterative scheme.…”
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Two Identification Methods for a Nonlinear Membership Function by Yuejiang Ji, Lixin Lv

“…Then a stochastic gradient algorithm and a gradient-based iterative algorithm are provided to estimate the unknown parameters of the nonlinear function. …”
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A Projection-Type Method for Multivalued Variational Inequality by Changjie Fang, Shenglan Chen, Jiming Zheng

“…We propose a projection-type method for multivalued variational inequality. The iteration sequence generated by the algorithm is proven to be globally convergent to a solution, provided that the multivalued mapping is continuous with nonempty compact convex values. …”
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Fixed Points Approximation and Solutions of Some Equilibrium and Variational Inequalities Problems by Bashir Ali

“…We prove a new strong convergence theorem for an element in the intersection of the set of common fixed points of a countable family of nonexpansive mappings, the set of solutions of some variational inequality problems, and the set of solutions of some equilibrium problems using a new iterative scheme. Our theorem generalizes and improves some recent results.…”
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On Some New Fixed Point Results with Applications to Matrix Difference Equations by Marwan Amin Kutbi, Jamshaid Ahmad, Muhammad Imran Shahzad

“…The aim of this article is to discuss the convergence of iterative sequences of the Prešić type involving new classes of operators satisfying Prešić type Θ-contractive condition in the context of metric spaces. …”
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An Improved Computationally Efficient Method for Finding the Drazin Inverse by Haifa Bin Jebreen, Yurilev Chalco-Cano

“…The objective of this work is to propose a computationally effective iterative scheme for finding the Drazin inverse. The convergence is investigated analytically by applying a suitable initial matrix. …”
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Strong Convergence on the Split Feasibility Problem by Mixing W-Mapping by Fugen Gao, Xiaoxiao Liu, Xiaochun Li

“…By mixing W-mapping with the viscosity, we introduce a new iterative algorithm for solving the split feasibility problem, and we prove that our proposed algorithm is convergent strongly to a solution of the split feasibility problem.…”
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Analytic solution of certain second-order functional differential equation by Theeradach Kaewong, Piyapong Niamsup

“…We consider the existence of analytic solutions of a certain class of iterative second-order functional differential equation of the form x″(x[r](z))=c0z2+c1(x(z))2+(c2x[2](z))2+⋯+cm(x[m](z))2, m,r≥0.…”
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A note on Bazilevič functions by S. A. Halim, D. K. Thomas

“…The sharp lower bound for Re(f(z)/z)α is obtained and the result is generalized to some iterated integral operators.…”
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POINT ESTIMATION OF THE PARAMETER OF GEOMETRIC DISTRIBUTION UNDER A PARTICULAR RANDOM CENSORING TEST by HE ChaoBing

“…The proof of existence and uniqueness of MLE and EM iterative formula of the parameter are given. The asymptotic variance of EM estimation is obtainde by Louis algorithm. …”
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Approximating Stationary Points of Multivalued Generalized Nonexpansive Mappings in Metric Spaces by Kifayat Ullah, Junaid Ahmad, Muhammad Arshad, Manuel de la Sen, Muhammad Safi Ullah Khan

“…In this research, under some appropriate conditions, we approximate stationary points of multivalued Suzuki mappings through the modified Agarwal-O’Regan-Sahu iteration process in the setting of 2-uniformly convex hyperbolic spaces. …”
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Combinatorics of Second Derivative: Graphical Proof of Glaisher-Crofton Identity by Pawel Blasiak, Gérard H. E. Duchamp, Karol A. Penson

“…We give a purely combinatorial proof of the Glaisher-Crofton identity which is derived from the analysis of discrete structures generated by the iterated action of the second derivative. The argument illustrates the utility of symbolic and generating function methodology of modern enumerative combinatorics. …”
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Modelling of the surface of the liquid metal drop with nonfixed radius by Regimantas Čiupaila

“…The boundary problem is brought to the initial one. The iterative algorithm is proposed to count the curve of the crest of the drop depending on some geometrical and mechanical parameters. …”
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Bootstrapping Weighted Inequalities for Hankel Transform by M. Dziri

“…The new inequalities produced depend on six parameters, two real indices, two complex-valued measures, and two positive functions. The method may be iterated using the last inequality generated as input to the next stage.…”
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Synthesis of Phased Cylindrical Arc Antenna Arrays by Hussein Rammal, Charif Olleik, Kamal Sabbah, Mohammad Rammal, Patrick Vaudon

“…The proposed method is based on iterative minimization of a function that incorporates constraints imposed in each direction. …”
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The Existence Results of Solutions for System of Fractional Differential Equations with Integral Boundary Conditions by Dongxia Zan, Run Xu

“…By using a fixed point theorem in the Banach spaces, we get the existence of solutions for the fractional differential system. By constructing iterative sequences for any given initial point in space, we can approximate this solution. …”
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A Note on Fractional Equations of Volterra Type with Nonlocal Boundary Condition by Zhenhai Liu, Rui Wang

“…Then, we obtain the existence of extremal solutions by use of the monotone iterative technique. Finally, an example illustrates the results.…”
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Decomposition Technique and a Family of Efficient Schemes for Nonlinear Equations by Farooq Ahmed Shah, Maslina Darus, Imran Faisal, Muhammad Arsalan Shafiq

“…In this paper, a new family of iterative methods for solving nonlinear equations is developed by using a new decomposition technique. …”
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A Numerical Investigation on the Structure of the Zeros of Euler Polynomials by C. S. Ryoo, J. Y. Kang

“…Finally, we show the Julia set of Newton iteration function R(x)=x-En(x)/En′(x).…”
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