Convergence Analysis of New Construction Explicit Methods for Solving Equilibrium Programming and Fixed Point Problems by Chainarong Khunpanuk, Nuttapol Pakkaranang, Bancha Panyanak

“…We provide weak convergence theorems without knowing the Lipschitz-type bifunction constants. …”
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Tag-modules with complement submodules H-pure by Surjeet Singh, Mohd Z. Khan

“…In the present paper some decomposition theorems for those primary TAG-modules in which all h-neat submodules are h-pure are proved. …”
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Generalized Derivations on Prime Near Rings by Asma Ali, Howard E. Bell, Phool Miyan

“…The purpose of the present paper is to prove some theorems in the setting of a semigroup ideal of a 3-prime near ring admitting a generalized derivation, thereby extending some known results on derivations.…”
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Finite-time anti-synchronization of a 6D Lorenz systems by Hu Tang, Kaiyu Liu, Zhengqiu Zhang

“…Up to now, the existing results on FTAS of chaotic systems have been achieved often by adopting the linear matrix inequality (LMI) method and finite time stability theorems (FTST). Adopting the new study methods studies the FTAS of the MS6DLSS, and the novel results on the FTAS are gotten for the MS6DLSS, which is innovative study work.…”
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Mathematical Analysis of a Cholera Model with Vaccination by Jing'an Cui, Zhanmin Wu, Xueyong Zhou

“…By comparison of arguments, it is proved that if ℛv>1, the disease persists and the unique endemic equilibrium is globally asymptotically stable, which is obtained by the second compound matrix techniques and autonomous convergence theorems. We perform sensitivity analysis of ℛv on the parameters in order to determine their relative importance to disease transmission and show that an imperfect vaccine is always beneficial in reducing disease spread within the community.…”
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Policy-adaptive capability inheritance algorithm consistent with POSIX standard by SHEN Qing-ni1, QING Si-han1, HE Ye-ping1, SHEN Jian-jun1

“…In order to support POSIX capability mechanism,many secure operating systems provided individual capability inheritable algorithms.These algorithms were only applicable to specified least privilege control policies,and had such defects as semantic conflicts and no defined security-objectives.So they couldn’t flexibly support for implementing diversified privilege policies for different requirements.Based on the analysis of some existing algorithms,a new capability inheritance algorithm was proposed,which introduced the policy-relevant capability control variable and the trusted application attribution.The implementation of the algorithm in ANSHENG secure operating system demonstrates that this algorithm provides such properties as policy-adaptability and usability,the formal analysis and verification of this algorithm proves that it supports a secure operating system to meet basic security theorems of the privilege policies enforced in it.…”
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Proper Fuzzification of Prime Ideals of a Hemiring by H. V. Kumbhojkar

“…., h-ideal). The correspondence theorems for different types of fuzzy ideals of hemirings are established. …”
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An optimal adaptive time-stepping scheme for solving reaction-diffusion-chemotaxis systems by Chichia Chiu, Jui-Ling Yu

“…We propose a fully explicit discretizationcombined with a variable optimal time step strategy for solving the reactiondiffusion-chemotaxis system. Theorems about stability and convergence of thealgorithm are given to show that the algorithm is highly stable and efficient.Numerical experiment results on a model problem are given for comparisonwith other numerical methods. …”
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Operators on Spaces of Bounded Vector-Valued Continuous Functions with Strict Topologies by Marian Nowak

“…General integral representation theorems of (βz,‖·‖F)-continuous linear operators   T:Cb(X,E)→F   with respect to the corresponding operator-valued measures are established. …”
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Soil Deformation around a Cylindrical Cavity under Drained Conditions: Theoretical Analysis by Pieride Mabe Fogang, Yang Liu, Jiale Zhao, Kevin Igor Azeuda Ndonfack

“…Analytical procedures are used to predict the degree of interaction between cavities and ground surface loads based on mathematical theorems. The stresses applied at the boundary condition induce the ground motions around the cylindrical cavity wall. …”
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A novel approach to the convergence analysis of chaotic dynamics in fractional order Chua’s attractor model employing fixed points by Mudasir Younis, Haroon Ahmad, Mahpeyker Ozturk, Deepak Singh

“…We introduce novel fixed point theorems using some special contractions followed by graphical representations of the convergence behavior of the iterative process. …”
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Dynamics of the rational difference equations by Burak Oğul

“…Using the standard iteration method, exact solutions are obtained. Some well-known theorems are used to test the stability of the equilibrium points. …”
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The weighted generalized Atangana-Baleanu fractional derivative in banach spaces- definition and applications by Muneerah AL Nuwairan, Ahmed Gamal Ibrahim

“…The technique we used based on the properties of this new fractional differential operator and suitable fixed point theorems for single valued and set valued functions. …”
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Pareto Optimality Conditions and Duality for Vector Quadratic Fractional Optimization Problems by W. A. Oliveira, A. Beato-Moreno, A. C. Moretti, L. L. Salles Neto

“…It shows that sufficient Pareto optimality conditions and the main duality theorems can be established without the assumption of generalized convexity in the objective functions, by considering some assumptions on a linear combination of Hessian matrices instead. …”
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Enhancing ecological uncertainty predictions in pollution control games through dynamic Bayesian updating by Jiangjing Zhou, Ovanes Petrosian, Hongwei Gao

“…The main focus of our paper is to theoretically validate this approach, by presenting a number of theorems that prove its precision and efficiency in improving uncertainty estimations. …”
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Isoline families in the space with rectilinear distances by V. Yu. Yurkov

“…The algorithm is based on the rectangular Hanan lattice and calculation numerical values in each cell. Some theorems applied to these cases are formulated in the paper. …”
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Adaptive Optimal 𝑚-Stage Runge-Kutta Methods for Solving Reaction-Diffusion-Chemotaxis Systems by Jui-Ling Yu

“…Instead of relying on empirical approaches to control the time step size, variable time step sizes are given explicitly. Yet, theorems about stability and convergence of the algorithm are provided in analyzing robustness and efficiency. …”
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Regularities of the theory of quasi-geodesic mappings of special parabolic spaces by Iryna Kurbatova, Nadiia Konovenko, Margaret Pistruil

“…Earlier, we considered the fundamental questions of the theory of QGM of generalized-recurrent-parabolic spaces. We proved theorems that allow for any generalized-recurrent-parabolic space (Vn, gij, Fih) to either find all spaces (V'n, g'_{ij}, Fih) on which Vn admits QGM of the general form, or prove that there are no such spaces. …”
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Some new applications of the fractional integral and four-parameter Mittag-Leffler function. by Ahmad A Abubaker, Khaled Matarneh, Suha B Al-Shaikh, Mohammad Faisal Khan

“…The techniques of differential subordination theory are employed in order to derive certain univalence conditions for the newly defined fractional calculus operator involving the Mittag-Leffler function. In the proved theorems and corollaries of the paper, it is specified that the fractional integral operator of the four parameter MLF satisfies the conditions to be starlike and convex. …”
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Multiplicity of Positive Solutions for Fractional Differential Equation with p-Laplacian Boundary Value Problems by Sabbavarapu Nageswara Rao

“…We investigate the existence of multiple positive solutions of fractional differential equations with p-Laplacian operator Da+β(ϕp(Da+αu(t)))=f(t,u(t)),  a<t<b, uja=0,  j=0,1,2,…,n-2, u(α1)(b)=ξu(α1)(η), ϕp(Da+αu(a))=0=Da+β1(ϕp(Da+αu(b))), where β∈(1,2], α∈(n-1,n],  n≥3, ξ∈(0,∞), η∈(a,b), β1∈(0,1], α1∈{1,2,…,α-2} is a fixed integer, and ϕp(s)=|s|p-2s,  p>1,  ϕp-1=ϕq,  (1/p)+(1/q)=1, by applying Leggett–Williams fixed point theorems and fixed point index theory.…”
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