Shrinking Projection Method of Fixed Point Problems for Asymptotically Pseudocontractive Mapping in the Intermediate Sense and Mixed Equilibrium Problems in Hilbert Spaces by Pattanapong Tianchai

“…The strong convergence theorem for the above two sets is obtained by a general iterative scheme based on the shrinking projection method, which extends and improves that of Qin et al. (2010) and many others.…”
Get full text

Multiple Weighted Estimates for Vector-Valued Multilinear Singular Integrals with Non-Smooth Kernels and Its Commutators by Dongxiang Chen, Dan Zou, Suzhen Mao

“…This note concerns multiple weighted inequalities for vector-valued multilinear singular integral operator with nonsmooth kernel and its corresponding commutators containing multilinear commutator and iterated commutator generated by the vector-valued multilinear operator and BMO functions. …”
Get full text

Strong Convergence to Solutions of Generalized Mixed Equilibrium Problems with Applications by Prasit Cholamjiak, Suthep Suantai, Yeol Je Cho

“…We introduce a Halpern-type iteration for a generalized mixed equilibrium problem in uniformly smooth and uniformly convex Banach spaces. …”
Get full text

Fixed Point Problems for Nonexpansive Mappings in Bounded Sets of Banach Spaces by Xianbing Wu

“…We study the existence of fixed points for nonexpansive mappings in bounded sets, and we present the iterative process to approximate fixed points. Some examples are given to support our results.…”
Get full text

Viscosity Approximation Methods with Errors and Strong Convergence Theorems for a Common Point of Pseudocontractive and Monotone Mappings: Solutions of Variational Inequality Probl... by Yan Tang

“…We introduce two proximal iterative algorithms with errors which converge strongly to the common solution of certain variational inequality problems for a finite family of pseudocontractive mappings and a finite family of monotone mappings. …”
Get full text

Existence and Uniqueness Solution of the Model of Enzyme Kinetics in the Sense of Caputo–Fabrizio Fractional Derivative by Geremew Kenassa Edessa

“…Its existence and uniqueness as a solution of the model was proved by setting different criteria. An iterative numerical scheme was provided to support the findings. …”
Get full text

Generalized Complementarity Problem with Three Classes of Generalized Variational Inequalities Involving ⊕ Operation by Rais Ahmad, Iqbal Ahmad, Zahoor Ahmad Rather, Yuanheng Wang

“…Under certain appropriate conditions, we establish equivalence between them. An iterative algorithm is defined for solving one of the three generalized variational inequalities involving XOR operation. …”
Get full text

Projection Methods for a System of Nonlinear Mixed Variational Inequalities in Banach Spaces by Zhong-Bao Wang, Guo-Ji Tang, Hong-Ling Zhang

“…The existence and uniqueness of solution for a system of nonlinear mixed variational inequality in Banach spaces is given firstly. A Mann iterative sequences with errors for this system of nonlinear mixed variational inequalities in Banach spaces is studied, by using the generalized f-projection operator πKf. …”
Get full text

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). …”
Get full text

A New Augmented Lagrangian Method for Equality Constrained Optimization with Simple Unconstrained Subproblem by Hao Zhang, Qin Ni

“…We construct an unconstrained subproblem by adding an adaptive quadratic term to the quadratic model of augmented Lagrangian function. In each iteration, we solve this unconstrained subproblem to obtain the trial step. …”
Get full text

Permanence and Stability of an Age-Structured Prey-Predator System with Delays by Liming Cai, Xuezhi Li, Xinyu Song, Jingyuan Yu

“…By constructing suitable Lyapunov functions and using an iterative technique, sufficient conditions are also obtained for the global asymptotic stability of the positive equilibrium of the model.…”
Get full text

Vector Solitons of a Coupled Schrödinger System with Variable Coefficients by Juan Carlos Muñoz Grajales

“…Furthermore, some of these solutions are approximated using a Newton-type iteration, combined with a collocation-spectral strategy to discretize the corresponding soliton equations. …”
Get full text

Wavelet-Galerkin Quasilinearization Method for Nonlinear Boundary Value Problems by Umer Saeed, Mujeeb ur Rehman

“…Quasilinearization technique is applied to linearize the nonlinear differential equation and then wavelet-Galerkin method is implemented to linearized differential equations. In each iteration of quasilinearization technique, solution is updated by wavelet-Galerkin method. …”
Get full text

A New Mathematical Modeling with Optimal Control Strategy for the Dynamics of Population of Diabetics and Its Complications with Effect of Behavioral Factors by Abdelfatah Kouidere, Abderrahim Labzai, Hanane Ferjouchia, Omar Balatif, Mostafa Rachik

“…Pontryagin’s maximum principle is used to characterize the optimal controls, and the optimality system is solved by an iterative method. Finally, some numerical simulations are performed to verify the theoretical analysis using MATLAB.…”
Get full text

A Frame-Based Conjugate Gradients Direct Search Method with Radial Basis Function Interpolation Model by Xiaowei Fang, Qin Ni

“…In addition, the rotational minimal positive basis is used to reduce the computation work at each iteration. Numerical results for solving the CUTEr test problems show that the proposed method is promising.…”
Get full text

Comparison Results on Preconditioned GAOR Methods for Weighted Linear Least Squares Problems by Guangbin Wang, Yanli Du, Fuping Tan

“…We compare the spectral radii of the iteration matrices of the preconditioned and the original methods. …”
Get full text

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. …”
Get full text

Some Random Fixed-Point Theorems for Weakly Contractive Random Operators in a Separable Banach Space by Kenza Benkirane, Abderrahim EL Adraoui, El Miloudi Marhrani

“…The aim of this paper is to prove a common random fixed-point and some random fixed-point theorems for random weakly contractive operators in separable Banach spaces. A random Mann iterative process is introduced to approximate the fixed point. …”
Get full text

Common random fixed points of compatible random operators by Ismat Beg, Mujahid Abbas

“…We construct a random iteration scheme and study necessary conditions for its convergence to a common random fixed point of two pairs of compatible random operators satisfying Meir-Keeler type conditions in Polish spaces. …”
Get full text

Convergence of Batch Split-Complex Backpropagation Algorithm for Complex-Valued Neural Networks by Huisheng Zhang, Chao Zhang, Wei Wu

“…For constant learning rate, it is proved that the error function of BSCBP algorithm is monotone during the training iteration process, and the gradient of the error function tends to zero. …”
Get full text