A *-mixing convergence theorem for convex set valued processes by A. de Korvin, R. Kleyle

“…The main result is somewhat similar to a theorem for real valued processes and is of interest in its own right.…”
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Congruences associated with families of nilpotent subgroups and a theorem of Hirsch by Aivazidis, Stefanos, Müller, Thomas

“…Using this result, we complete and correct the proof of a theorem of Hirsch concerning the class number of a finite group of odd order.…”
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The Characterizations of WG Matrix and Its Generalized Cayley–Hamilton Theorem by Na Liu, Hongxing Wang

“…Furthermore, we generalize the Cayley–Hamilton theorem for special matrices including the WG matrix. …”
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Optical-Theorem-Based Coherent Scatterer Detection in Complex Environments by Edwin A. Marengo, Fred K. Gruber

“…The new method is rooted on physical considerations, in particular, on the optical theorem applicable to wavefields (e.g., acoustic, electromagnetic, and optical). …”
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An application of stress energy tensor to the vanishing theorem of differential forms by Kairen Cai

“…The author applies the stress energy of differential forms to study the vanishing theorems of the Liouville type. It is shown that for a large class of underlying manifolds such as the Euclidean n-space, the complex n-space, and the complex hyperbolic space form, if any vector bundle valued p-form with conservative stress energy tensor is of finite norm or slowly divergent norm, then the p-form vanishes. …”
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Common Fixed Point Theorems for Probabilistic Nearly Densifying Mappings by Aeshah Hassan Zakri, Sumitra Dalal, Sunny Chauhan, Jelena Vujaković

“…The aim of this paper is to prove some coincidence and common fixed point theorems for probabilistic nearly densifying mappings in complete Menger spaces. …”
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A representation theorem for operators on a space of interval functions by J. A. Chatfield

“…All integrals used are of the subdivision-refinement type. The main theorem [Theorem 3] gives a representation of TH where H is a function from R×R to N such that H(p+,p+), H(p,p+), H(p−,p−), and H(p−,p) each exist for each p and T is a bounded linear operator on the space of all such functions H. …”
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Fixed Point Theorems for Generalized Mizoguchi-Takahashi Graphic Contractions by Nawab Hussain, Jamshaid Ahmad, Marwan Amin Kutbi

“…For the purpose of extension and modification of classical ideas related with Mizoguchi-Takahashi contraction, we define generalized Mizoguchi-Takahashi G-contractions and establish some generalized fixed point theorems regarding these contractions in this paper. …”
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A Voronovskaya-type theorem for a positive linear operator by Alexandra Ciupa

“…For these operators, we give a Voronovskaya-type theorem…”
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A limit theorem for zeta-functions of normalized cusp forms by Antanas Laurinčikas

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On a theorem of B. Keller on Yoneda algebras of simple modules by Jasso, Gustavo

“…A theorem of Keller states that the Yoneda algebra of the simple modules over a finite-dimensional algebra is generated in cohomological degrees $0$ and $1$ as a minimal $A_\infty $-algebra. …”
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The local limit theorem for complex valued sequences: the parabolic case by Coulombel, Jean-François, Faye, Grégory

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On Coincidence Theorem in Intuitionistic Fuzzy b-Metric Spaces with Application by Shazia Kanwal, Akbar Azam, Faria Ahmed Shami

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A weighted universality theorem for zeta-functions of elliptic curves by Virginija Garbaliauskienė

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The Hahn-Banach Extension Theorem for Fuzzy Normed Spaces Revisited by Carmen Alegre, Salvador Romaguera

“…Our result generalizes the classical Hahn-Banach extension theorem for normed spaces.…”
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Characterization Theorems for Generalized Functionals of Discrete-Time Normal Martingale by Caishi Wang, Jinshu Chen

“…Several characterization theorems are established. Finally we give some applications of these characterization theorems. …”
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ABJ anomaly as a U(1) symmetry and Noether’s theorem by Valentin Benedetti, Horacio Casini, Javier M. Magan

“…We end by recalling the DHR reconstruction theorem, which states $0$-form symmetries cannot be non-invertible for $d>2$, and argue for a higher form-symmetry reconstruction theorem.…”
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Commutator Theorems for Fractional Integral Operators on Weighted Morrey Spaces by Zhiheng Wang, Zengyan Si

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An extension of Horn's theorem for a space of locally integrable functions by Hernan R. Henriquez, Eduardo A. Hernandez

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Integrability on the Abstract Wiener Space of Double Sequences and Fernique Theorem by Jeong-Gyoo Kim

“…We examine the integrability of a function eα·2 defined on the abstract Wiener space for Fernique theorem. With respect to the abstract Wiener measure, the integral of the function turns out to be convergent for α<1/2. …”
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