A Hybrid Extragradient-Like Method for Variational Inequalities, Equilibrium Problems, and an Infinitely Family of Strictly Pseudocontractive Mappings by Yaqin Wang, Hongkun Xu, Xiaoli Fang

“…Then, we obtain a strong convergence theorem of the iterative sequence generated by the proposed iterative algorithm. …”
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Hopf Bifurcation of a Delayed Ecoepidemic Model with Ratio-Dependent Transmission Rate by Wanjun Xia, Soumen Kundu, Sarit Maitra

“…Furthermore, properties of the Hopf bifurcation are investigated by using the normal form theory and the center manifold theorem. Finally, numerical simulations are carried out in order to validate our obtained theoretical results.…”
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Common Fixed Point for Three Pairs of Self-Maps Satisfying Common (E.A) Property in Generalized Metric Spaces by Feng Gu, Yun Yin

“…Using the concept of common (E.A) property, we prove a common fixed point theorem for three pairs of weakly compatible self-maps satisfying a new contractive condition in the framework of a generalized metric space. …”
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Extension sets for real analytic functions and applications to Radon transforms by Vernor Arguedas, Ricardo Estrada

“…The real analytic character of a function f(x,y) is determined from its behavior along radial directions fθ(s)=f(scosθ,ssinθ) for θ∈E, where E is a small set. A support theorem for Radon transforms in the plane is proved. …”
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Elliptic Equations in Weighted Sobolev Spaces on Unbounded Domains by Serena Boccia, Sara Monsurrò, Maria Transirico

“…We obtain an a priori bound, and a regularity result from which we deduce a uniqueness theorem.…”
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Latency model of neighbor discovery based on Bluetooth low energy 5.0 by Bingqing LUO, Peipei WANG, Zhengkang WANG, Zhixin SUN

“…For Bluetooth low energy neighbor discovery protocol, it was usually difficult to assess the discovery latency performance.A latency performance model of neighbor discovery based on Chinese remainder theorem for Bluetooth 5.0 standard was proposed.A mathematical relationship between the discovery latency and key parameters was put forward, including advertising interval, scan interval and scan window.The effect of different parameter configurations on the neighbor discovery latency was verified.Experimental results show that the model can effectively predict the delay peak under the influence of parameter configuration, and provide parameter configuration verification and guidance for different application scenarios.…”
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An Application of Fixed Point Theory to a Nonlinear Differential Equation by A. P. Farajzadeh, A. Kaewcharoen, S. Plubtieng

“…By applying our obtained results, we also assure the fixed point theorems in partially ordered complete metric spaces and as an application of the main results we provide an existence theorem for a nonlinear differential equation.…”
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A Fast Algorithm for Computing Binomial Coefficients Modulo Powers of Two by Mugurel Ionut Andreica

“…For larger values of and , variations of Lucas’ theorem must be used first in order to reduce the computation to the evaluation of multiple binomial coefficients (or restricted types of factorials ) modulo with .…”
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Synthesis of 4 Planetary Row Transmission Scheme based on Lever Method by Jie Yu, Chaofeng Ma, Naichao Guo, Kai Liu

“…According to the plane graph decision theorem， combined with the 4 planetary row transmission scheme after the joint elements arrangement， the transmission scheme interference test is carried out， and finally the scheme of 4 planetary row transmission is obtained.…”
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Analysis of the effects of the amplitude-phase errors on spatial spectrum and resolving performance of the MUSIC algorithm by WANG Ding, WANG Chao, WU Ying

“…Based on the perturbation theorem of orthogonal projection matrix,the first-order statistical expression of spatial spectrum of the MUSIC algorithm was deduced and a quadratic equation for solving the mean signal-to-noise ra-tio（SNR） resolving threshold was derived,through which the corresponding SNR resolution threshold could be obtained. …”
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Hybrid Algorithm for Common Fixed Points of Uniformly Closed Countable Families of Hemirelatively Nonexpansive Mappings and Applications by Sumei Ai, Yongfu Su

“…The authors have obtained the following results: (1) the definition of uniformly closed countable family of nonlinear mappings, (2) strong convergence theorem by the monotone hybrid algorithm for two countable families of hemirelatively nonexpansive mappings in a Banach space with new method of proof, (3) two examples of uniformly closed countable families of nonlinear mappings and applications, (4) an example which is hemirelatively nonexpansive mapping but not weak relatively nonexpansive mapping, and (5) an example which is weak relatively nonexpansive mapping but not relatively nonexpansive mapping. …”
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Linearization of a Matrix Riccati Equation Associated to an Optimal Control Problem by Foued Zitouni, Mario Lefebvre

“…The results generalize a theorem proved by Whittle and the one-dimensional case already considered by the authors. …”
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Positive Periodic Solutions for Neutral Delay Ratio-Dependent Predator-Prey Model with Holling-Tanner Functional Response by Guirong Liu, Sanhu Wang, Jurang Yan

“…By using a continuation theorem based on coincidence degree theory, we establish some easily verifiable criteria for the existence of positive periodic solutions for neutral delay ratio-dependent predator-prey model with Holling-Tanner functional response x'(t)=x(t)[r(t)-a(t)x(t-σ(t))-b(t)x'(t-σ(t))]-c(t)x(t)y(t)/h(t)y(t)+x(t), y'(t)=y(t)d(t)-f(t)y(t-τ(t))/x(t-τ(t)).…”
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Convergence and Dynamics of Schröder’s Method for Zeros of Analytic Functions with Unknown Multiplicity by Plamena I. Marcheva, Stoil I. Ivanov

“…Thus, we obtain a convergence theorem that provides exact domains of initial points together with error estimates to ensure the <i>Q</i>-quadratic convergence of Schröder’s method right from the first step. …”
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On commutativity of one-sided s-unital rings by H. A. S. Abujabal, M. A. Khan

“…The following theorem is proved: Let r=r(y)>1, s, and t be non-negative integers. …”
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Nontrivial Periodic Solutions of an -Dimensional Differential System and Its Application by F. B. Gao

“…Two criteria are constructed to guarantee the existence of periodic solutions for a second-order -dimensional differential system by using continuation theorem. It is noticed that the criteria established are found to be associated with the system’s damping coefficient, natural frequency, parametrical excitation, and the coefficient of the nonlinear term. …”
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Existence Results of Nonlocal Fractional Integro-Neutral Differential Inclusions with Infinite Delay by Madeaha Alghanmi, Shahad Alqurayqiri

“…Then, sufficient criteria for the existence of solutions are established for the convex case of the given problem using the nonlinear Leray–Schauder alternative type, while Covitz and Nadler’s theorem is applied for nonconvex multivalued functions. …”
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Formalization of Linear Space Theory in the Higher-Order Logic Proving System by Jie Zhang, Danwen Mao, Yong Guan

“…Theorem proving is an important approach in formal verification. …”
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Optimal Controls for a Class of Impulsive Katugampola Fractional Differential Equations with Nonlocal Conditions by Xingru Chen, Haibo Gu, Yu Sun

“…First, by using a fixed-point theorem, we obtain the existence results for a class of impulsive Katugampola fractional differential equations. …”
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An Existence and Uniqueness Result for a Bending Beam Equation without Growth Restriction by Yongxiang Li, He Yang

“…Our discussion is based on the Leray-Schauder fixed point theorem.…”
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