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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Numerical Solution of Two-Dimensional Linear Fuzzy Fredholm Integral Equations by the Fuzzy Lagrange Interpolation by H. Nouriani, R. Ezzati

“…In this study, at first, we propose a new approach based on the two-dimensional fuzzy Lagrange interpolation and iterative method to approximate the solution of two-dimensional linear fuzzy Fredholm integral equation (2DLFFIE). …”
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Global Stability of a Discrete Mutualism Model by Kun Yang, Xiangdong Xie, Fengde Chen

“…By using the linear approximation method, the local stability of the interior equilibrium of the system is investigated. By using the iterative method and the comparison principle of difference equations, sufficient conditions which ensure the global asymptotical stability of the interior equilibrium of the system are obtained. …”
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Iterative Approximation of the Minimal and Maximal Positive Solutions for Multipoint Fractional Boundary Value Problem on an Unbounded Domain by Guotao Wang, Sanyang Liu, Lihong Zhang

“…By employing the monotone iterative method, this paper not only establishes the existence of the minimal and maximal positive solutions for multipoint fractional boundary value problem on an unbounded domain, but also develops two computable explicit monotone iterative sequences for approximating the two positive solutions. …”
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Convergence Theorems for Infinite Family of Multivalued Quasi-Nonexpansive Mappings in Uniformly Convex Banach Spaces by Aunyarat Bunyawat, Suthep Suantai

“…We introduce an iterative method for finding a common fixed point of a countable family of multivalued quasi-nonexpansive mapping {Ti} in a uniformly convex Banach space. …”
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Shape Reconstruction for Unsteady Advection-Diffusion Problems by Domain Derivative Method by Wenjing Yan, Jian Su, Feifei Jing

“…This allows the investigation of iterative method for the ill-posed problem. By the parametric method, a regularized Gauss-Newton scheme is employed to the shape inverse problem. …”
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Partial Differential Equations in Zero-Sum Differential Game and Applications on Coronavirus by Abd El-Monem A. Megahed, H. F. A. Madkour

“…We used analytical methods, the Homotopy Perturbation Method and New Iterative Method, for solving the partial differential equation. …”
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Iterative Reproducing Kernel Method for Solving Second-Order Integrodifferential Equations of Fredholm Type by Iryna Komashynska, Mohammed AL-Smadi

“…We present an efficient iterative method for solving a class of nonlinear second-order Fredholm integrodifferential equations associated with different boundary conditions. …”
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Adaptive weighted progressive iterative approximation based on coordinate decomposition. by Yushi Liu, Yan Wang, Chengzhi Liu

“…During the iteration, the weight coefficients are flexibly adjusted based on the error of the current iteration step, demonstrating the flexibility and precision of the geometric iterative method in addressing geometric approximation problems. …”
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A New Iterative Algorithm for General Variational Inequality Problem with Applications by Aysha Khan, M. Akram, M. Dilshad, J. Shafi

“…Using this newly proposed iterative method, we estimate the common solution of generalized variational inequality problem and fixed points of a nonexpansive mapping. …”
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Iterative solutions of K-positive definite operator equations in real uniformly smooth Banach spaces by Zeqing Liu, Shin Min Kang, Jeong Sheok Ume

“…Under suitable conditions we establish that the iterative method by Bai (1999) converges strongly to the unique solution of the equation Tx=f, f∈X. …”
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Geometrically Constructed Families of Newton's Method for Unconstrained Optimization and Nonlinear Equations by Sanjeev Kumar, Vinay Kanwar, Sushil Kumar Tomar, Sukhjit Singh

“…One-parameter families of Newton's iterative method for the solution of nonlinear equations and its extension to unconstrained optimization problems are presented in the paper. …”
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A Numerical Method for Computing the Principal Square Root of a Matrix by F. Soleymani, S. Shateyi, F. Khaksar Haghani

“…It is shown how the mid-point iterative method with cubical rate of convergence can be applied for finding the principal matrix square root. …”
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Strong Convergence of an Inertial Iterative Algorithm for Generalized Mixed Variational-like Inequality Problem and Bregman Relatively Nonexpansive Mapping in Reflexive Banach Spac... by Saud Fahad Aldosary, Watcharaporn Cholamjiak, Rehan Ali, Mohammad Farid

“…Furthermore, we introduce and study an inertial hybrid iterative method for solving the generalized mixed variational-like inequality problem involving Bregman relatively nonexpansive mapping in Banach space. …”
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Positive Solutions for BVP of Fractional Differential Equation with Integral Boundary Conditions by Min Li, Jian-Ping Sun, Ya-Hong Zhao

“…By applying the monotone iterative method and some inequalities associated with Green’s function, we obtain the existence of minimal and maximal positive solutions and establish two iterative sequences for approximating the solutions to the above problem. …”
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A Viscosity Approximation Scheme for Finding Common Solutions of Mixed Equilibrium Problems, a Finite Family of Variational Inclusions, and Fixed Point Problems in Hilbert Spaces by Bin-Chao Deng, Tong Chen, Baogui Xin

“…We introduce an iterative method for finding a common element of set of fixed points of nonexpansive mappings, the set of solutions of a finite family of variational inclusion with set-valued maximal monotone mappings and inverse strongly monotone mappings, and the set of solutions of a mixed equilibrium problem in Hilbert spaces. …”
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A New Method for the Bisymmetric Minimum Norm Solution of the Consistent Matrix Equations A1XB1=C1, A2XB2=C2 by Aijing Liu, Guoliang Chen, Xiangyun Zhang

“…We propose a new iterative method to find the bisymmetric minimum norm solution of a pair of consistent matrix equations A1XB1=C1, A2XB2=C2. …”
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Estimation of Newly Established Iterative Scheme for Generalized Nonexpansive Mappings by Aftab Hussain, Nawab Hussain, Danish Ali

“…We introduce a new iterative method in this article, called the D iterative approach for fixed point approximation. …”
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Multiple Control Strategies for Prevention of Avian Influenza Pandemic by Roman Ullah, Gul Zaman, Saeed Islam

“…We completely characterized the optimal control and compute numerical solution of the optimality system by using an iterative method.…”
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Approximation of the Fixed Point of Multivalued Quasi-Nonexpansive Mappings via a Faster Iterative Process with Applications by Godwin Amechi Okeke, Mujahid Abbas, Manuel de la Sen

“…In this paper, we approximate the fixed points of multivalued quasi-nonexpansive mappings via a faster iterative process and propose a faster fixed-point iterative method for finding the solution of two-point boundary value problems. …”
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