Some Properties of Fuzzy Quasimetric Spaces by Abdul Mohamad

“…We also prove Baire's theorem, uniform limit theorem, and second countability result for fuzzy quasi-metric spaces.…”
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Multiple Solutions for Nonhomogeneous Neumann Differential Inclusion Problems by the p(x)-Laplacian by Qing-Mei Zhou

“…More precisely, Weierstrass theorem and Mountain Pass theorem are used to prove the existence of at least two nontrivial solutions.…”
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Singular boundary value problem on infinite time scale

“…<p>This paper deals with a class of singular boundary value problems of differential equations on infinite time scale. An existence theorem of positive solutions is established by using the Schauder fixed point theorem and perturbation and operator approximation method, which resolves the singularity successfully and differs from those of some papers. …”
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Finite dimensionality in scole of Banach algebras by Sin-Ei Takahasi

“…The proof makes use of the Al-Moajil theorem. However it is remarked that our main theorem is an extension of the Al-Moajil's.…”
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Subgroups of quasi-HNN groups by R. M. S. Mahmood, M. I. Khanfar

“…We extend the structure theorem for the subgroups of the class of HNN groups to a new class of groups called quasi-HNN groups. …”
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Normal Forms for Nonautonomous Nonlinear Difference Systems Under Nonuniform Dichotomy Spectrum by Ning Song

“…Using this spectral theorem, we extend smooth normal forms from autonomous difference systems to nonautonomous ones.…”
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Ehresmann Semigroups from a Range Restriction Viewpoint by Wadii Hajji

“…The first theorem in this article provides the connection between Ehresmann semigroups and range prerestriction semigroups defined by the author. …”
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Complete Controllability for Fractional Evolution Equations by Xia Yang, Haibo Gu

“…By contraction fixed point theorem and Krasnoselskii's fixed point theorem, we obtain some sufficient conditions to ensure the complete controllability. …”
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Subgradient Extragradient Method for Finite Lipschitzian Demicontractions and Variational Inequality Problems in a Hilbert Space by Sarawut Suwannaut

“…Furthermore, numerical examples are given to support the main theorem.…”
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Invariants for Weighted Digraphs under One-Sided State Splittings by Sheng Chen, Xiaomei Chen, Chao Xia

“…Using Matrix-Forest theorem and Matrix-Tree theorem, we present some invariants for weighted digraphs under state in-splittings or out-splittings.…”
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Existence and Multiplicity of Fast Homoclinic Solutions for a Class of Damped Vibration Problems with Impulsive Effects by Qiongfen Zhang

“…Some new results are obtained under more relaxed conditions by using Mountain Pass Theorem and Symmetric Mountain Pass Theorem in critical point theory. …”
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Existence and Nonexistence of Periodic Solutions for a Class of Fourth-Order Partial Difference Equations by Dan Li, Yuhua Long

“…In this paper, we investigate multiplicity, existence, and nonexistence of periodic solutions to a fourth-order partial difference equation via linking theorem and saddle point theorem. Our obtained results significantly generalize and improve some existing ones. …”
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The Boundedness of the Hardy-Littlewood Maximal Operator and Multilinear Maximal Operator in Weighted Morrey Type Spaces by Takeshi Iida

“…In particular, the result includes the Komori-Shirai theorem and the Iida-Sato-Sawano-Tanaka theorem for the Hardy-Littlewood maximal operator and multilinear maximal function.…”
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Fixed Points Approximation and Solutions of Some Equilibrium and Variational Inequalities Problems by Bashir Ali

“…Our theorem generalizes and improves some recent results.…”
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Recognition algorithm of non punctured polarization codes based on structural characteristics of coding matrix by Yao WANG, Xiang WANG, Guodong YANG, Zhitao HUANG

“…In order to solve the problems of complexity and poor error adaptability in the blind recognition of standard non-punctured polarization codes, the theorems and propositions that could characterize the relationship between the code length and code rate, and distinguish information subchannel and frozen subchannel were proved.Based on the theorem and proposition, an efficient blind recognition algorithm was proposed.The proposed algorithm only needed to set the possible maximum code length, and the corresponding soft decision codewords matrixes and Kronecker matrixes were constructed.Based on the theorem and proposition proved, the check relationship between the two matrices was judged and the code rate and frozen bit position were estimated.The average likelihood difference was introduced as the test quantity, and the decision threshold was determined based on its theoretical probability distribution and minimax criterion.The simulation results show that the deduced theorem and propositions are consistent with the simulation results.Under the signal-to-noise ratio of 6 dB and code length of 1 024, the parameter recognition rate is still close to 100%.The recognition performance and computational complexity are better than the existing soft decision algorithms.…”
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Discrete Weighted Pseudo Asymptotic Periodicity of Second Order Difference Equations by Zhinan Xia

“…The working tools are based on the exponential dichotomy theory and fixed point theorem.…”
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Identities with derivations and automorphisms on semiprime rings by Joso Vukman

“…In this paper, some results related to Posner's theorem as well as to Mayne's theorem are proved.…”
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Generalized Transversal Lightlike Submanifolds of Indefinite Sasakian Manifolds by Yaning Wang, Ximin Liu

“…We introduce and study generalized transversal lightlike submanifold of indefinite Sasakian manifolds which includes radical and transversal lightlike submanifolds of indefinite Sasakian manifolds as its trivial subcases. A characteristic theorem and a classification theorem of generalized transversal lightlike submanifolds are obtained.…”
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Fractional Differential Equations with Fractional Impulsive and Nonseparated Boundary Conditions by Xi Fu, Xiaoyou Liu

“…By means of Schaefer fixed point theorem, Banach fixed point theorem, and nonlinear alternative of Leray-Schauder type, some existence results are obtained. …”
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Existence Results of Random Impulsive Integrodifferential Inclusions with Time-Varying Delays by Sahar M. A. Maqbol, R. S. Jain, B. S. Reddy

“…Our study is based on the Martelli fixed point theorem, Pachpatte’s inequality, and the fixed point theorem due to Covitz and Nadler. …”
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