Strong Convergence Analysis of Iterative Algorithms for Solving Variational Inclusions and Fixed-Point Problems of Pseudocontractive Operators by Zhangsong Yao, Yan-Kuen Wu, Ching-Feng Wen

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Perihelion Precessions of Inner Planets in Einstein’s Theory and Predicted Values for the Cosmological Constant by Alvaro H. Salas S, Jairo E Castillo H, Lorenzo J. Martınez H

“…In this paper, we obtain the approximate value of 42.9815 arcsec/century for Mercury’s perihelion precession by solving both numerically and analytically the nonlinear ordinary differential equation derived from the geodesic equation in Einstein’s Theory of Relativity. …”
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Existence of Tripled Fixed Points for a Class of Condensing Operators in Banach Spaces by Vatan Karakaya, Nour El Houda Bouzara, Kadri Doğan, Yunus Atalan

“…Further, as an application, we study the existence of solutions for a general system of nonlinear integral equations.…”
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Author Correction: Magnetic and pH sensitive nanocomposite microspheres for controlled temozolomide delivery in glioblastoma cells by Meysam Ahmadi, Muhammad Hossein Ashoub, Kamran Heydaryan, Sanaz Abolghasemi, Elmuez A. Dawi, Ghazal khajouei, Mahnaz Amiri

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An improved blind detection algorithm of chaos Hopfield neural network by Dawei YU, Shaowei CHEN, Shujuan YU

“…In order to improve the flexibility of the activation function of the blind detection algorithm in Hopfield neural network,an activation function with better nonlinear approximation ability near the origin was proposed.For the case where the algorithm trapped in local optima,utilizing the good ergodicity and randomness of chaos mapping,chaos was used to generate the initial sequence at the starting point of the algorithm,and small-amplitude chaotic perturbation was performed when the current global optimum value was constant,so as to reduce the error performance of the algorithm.The simulation results show that the proposed algorithm reduces the sensitivity of neurons to input values,has strong anti-interference ability and fast convergence speed,and improves the blind detection performance.…”
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Grey evaluation model and algorithm of network attack effectiveness by WANG Hui-mei, JIANG Liang, XIAN Ming, WANG Guo-yu

“…Network attack effect evaluation is a complex problem especially in the operation of network attack and de-fence, in which the information is incomplete and vague.The grey system theory is a powerful tool to solve the problem which has a little and uncertain information.A grey evaluation system and model, based on the evaluation index system, was proposed and grey evaluation algorithm was introduced.Using rough set theory, the nonlinear combination weight of evaluation indices was established.A simulation example was also given, which showed that the approach was brief and effective.This approach can be used to evaluate the effectiveness of single attack, as well as to compare like kind attack, so that the attack can be sorted based on the effect evaluation.…”
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Evaluation and Analysis of Multimedia Collaborative Building Design Relying on Particle Swarm Optimization Algorithm by Tao Yang

“…According to the complexity of architectural design evaluation and the nonlinear relationship between related influencing factors, we have studied the principles and methods of applying system analysis, designed comprehensive evaluation models, and comprehensively evaluated architectural design schemes.…”
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Strong Convergence of Iterative Algorithm for a New System of Generalized H·,·-η-Cocoercive Operator Inclusions in Banach Spaces by Saud M. Alsulami, Eskandar Naraghirad, Nawab Hussain

“…Using the resolvent operator technique associated with H·,·-η-cocoercive operators, we suggest and analyze a new generalized algorithm of nonlinear set-valued variational inclusions and establish strong convergence of iterative sequences produced by the method. …”
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Nonexistence of Homoclinic Solutions for a Class of Discrete Hamiltonian Systems by Xiaoping Wang

“…We give several sufficient conditions under which the first-order nonlinear discrete Hamiltonian system Δx(n)=α(n)x(n+1)+β(n)|y(n)|μ-2y(n),Δy(n)=-γ(n)|x(n+1)|ν-2x(n+1)-α(n)y(n) has no solution (x(n),y(n)) satisfying condition 0<∑n=-∞+∞[|x(n)|ν+(1+β(n))|y(n)|μ]<+∞, where μ,ν>1 and 1/μ+1/ν=1 and α(n),β(n), and γ(n) are real-valued functions defined on ℤ.…”
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Construction and Research of Lightweight Cryptography SOPT-S Boxes Based on Inverse Mapping in Galois Field by Zhaolong Fan, Qijian Xu, Yongju Xu, Fei Wang

“…It is shown that the SOPT-S boxes perform better in cryptographic properties such as differential uniformity, algebraic degree and avalanche effect than PRESENT, of which the algebraic degree achieves to n-1, avalanche effect to 1/2 and both of them achieve to the best, besides, it has an equivalent nonlinearity compared with PRESENT. In addition, the hardware overhead is also the same as the latter, so that it can provide a reference for the designing of nonlinear layer of lightweight cryptography algorithm.…”
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The Solvability of Fourth-Order Differential Equations under Almost Hardy–Rogers ψ,ϕ-Type Multivalued Contractions in M℘-Metric Space by Mustafa Mudhesh, Muhammad Arshad, Aftab Hussain, Amer Hassan Albargi, Eskandar Ameer

“…Finally, we utilize the obtained results to scrutinize the existence of solutions for nonlinear fourth-order differential equations (NFODEs).…”
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A Fourth Order Finite Difference Method for the Good Boussinesq Equation by M. S. Ismail, Farida Mosally

“…Newton’s method and linearization techniques are used to solve the resulting nonlinear system. The exact solution and the conserved quantity are used to assess the accuracy and the efficiency of the derived method. …”
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An Iteration to a Common Point of Solution of Variational Inequality and Fixed Point-Problems in Banach Spaces by H. Zegeye, N. Shahzad

“…Our theorems improve and unify most of the results that have been proved for this important class of nonlinear operators.…”
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Distributed relay assignment and power allocation for full-duplex two-way relaying in wireless sensor networks by Song Li, Shuo Li, Yanjing Sun

“…We investigated the weighted sum rate maximization problem under relay assignment constraints and total power constraints on each cooperative link, which turns out to be a mixed integer nonlinear programming problem. To tackle the challenging problem, we propose a distributed relay assignment and power allocation scheme by separating the original problem into two subproblems: relay assignment and power allocation. …”
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Existence and blow up for viscoelastic hyperbolic equations with variable exponents by Ying Chu, Bo Wen, Libo Cheng

“…In this article, we consider a nonlinear viscoelastic hyperbolic problem with variable exponents. …”
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Investigation of Cracking in Reinforced Concrete Structures by Means of Standardized Deformation Models by Mikhail V. Morgunov, Anzhelika A. Lyudkevich

“…For theoretical verification of the values of the moment of cracking, calculation methods based on the use of a nonlinear deformation model are used.A theoretical study of cracking moment using a non-linear deformation model shows that the application of a two-line diagram of concrete deformation allows to obtain the most accurate values of cracking moment.…”
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Discrete Maximum Principle and Energy Stability of the Compact Difference Scheme for Two-Dimensional Allen-Cahn Equation by Yu Bo, Dan Tian, Xiao Liu, Yuanfeng Jin

“…The compact difference method will be used to numerically approximate the two-dimensional nonlinear Allen-Cahn equation with initial and boundary value conditions, and then, a fully discrete compact difference scheme with second-order accuracy in time and fourth-order in space is established. …”
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Chaos and Control in Coronary Artery System by Yanxiang Shi

“…Numerical simulations are used to investigate the nonlinear dynamical characteristics and complexity of the two systems, revealing bifurcation forms and the road leading to chaotic motion. …”
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Existence of Solutions for Singular Second-Order Ordinary Differential Equations with Periodic and Deviated Nonlocal Multipoint Boundary Conditions by Ahmed M. A. El-Sayed, Fatma M. Gaafar

“…This paper studies the existence of continuous solutions for a class of nonlinear singular second-order ordinary differential equations subject to one of the following boundary conditions: periodic-deviated multipoint boundary conditions, periodic-integral boundary conditions, and periodic-nonlocal integral conditions in the Riemann-Stieltjes sense. …”
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On the Definitions of Nabla Fractional Operators by Thabet Abdeljawad, Ferhan M. Atici

“…We formalize initial value problems for nonlinear fractional difference equations as an application of our findings. …”
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