Implicit Multifunction Theorems in Banach Spaces by Ming-ge Yang, Yi-fan Xu

“…This paper is mainly devoted to the study of implicit multifunction theorems in terms of Clarke coderivative in general Banach spaces. …”
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A generalization of Gelfand-Mazur theorem by Sung Guen Kim

“…In this paper, we show that if A is a unital semisimple complex Banach algebra with only the trivial idempotents and if σA(x) is countable for each x∈Fr(G(A)), then A≅C, this generalizes the Gelfand-Mazur theorem.…”
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«Priority Dispute» between Cauchy and Maclaurin or the History of a Mistake. by A. V. Yastrebov

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Central Limit Theorem for Coloured Hard Dimers by Maria Simonetta Bernabei, Horst Thaler

“…We study the central limit theorem for a class of coloured graphs. This means that we investigate the limit behavior of certain random variables whose values are combinatorial parameters associated to these graphs. …”
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Some Generalizations of Jungck's Fixed Point Theorem by J. R. Morales, E. M. Rojas

“…We are going to generalize the Jungck's fixed point theorem for commuting mappings by mean of the concepts of altering distance functions and compatible pair of mappings, as well as, by using contractive inequalities of integral type and contractive inequalities depending on another function.…”
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Generalised Dirac-Schrödinger operators and the Callias Theorem by Koen van den Dungen

“…Our main result in this paper is a generalisation of the Callias Theorem: the index of the Dirac-Schrödinger operator can be computed on a suitable compact hypersurface. …”
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Discrete limit theorems for general Dirichlet polynomials by Renata Macaitienė

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A duality theorem for solutions of elliptic equations by Pierre Blanchet

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Fixed Point Theorems for Asymptotically Contractive Multimappings by M. Djedidi, K. Nachi

“…We present fixed point theorems for a nonexpansive set-valued mapping from a closed convex subset of a reflexive Banach space into itself under some asymptotic contraction assumptions. …”
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On the constant in the nonuniform version of the Berry-Esseen theorem by K. Neammanee

“…In 2001, Chen and Shao gave the nonuniform estimation of the rate of convergence in Berry-Esseen theorem for independent random variables via Stein-Chen-Shao method. …”
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An Arzela-Ascoli type theorem for random functions by Joseph P. Noonan, Henry M. Polchlopek

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A commutativity theorem for left s-unital rings by Hamza A. S. Abujabal

“…In this paper we generalize some well-known commutativity theorems for associative rings as follows: Let R be a left s-unital ring. …”
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On a fixed point theorem of Fisher and Sessa by Gerald Jungck

“…A fixed point theorem of Fisher and Sessa is generalized by replacing the requirements of commutativity and nonexpansiveness by compatibility and continuity respectively.…”
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Fixed Point Theorems of Superlinear Operators with Applications by Shaoyuan Xu, Yan Han

“…As corollaries, the new fixed point theorems for α-convex operators α>1, e-convex operators, positive α homogeneous operator α>1, generalized e-convex operator, and convex operators are obtained. …”
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Schatten's theorems on functionally defined Schur algebras by Pachara Chaisuriya, Sing-Cheong Ong

“…For each triple of positive numbers p,q,r≥1 and each commutative C*-algebra ℬ with identity 1 and the set s(ℬ) of states on ℬ, the set 𝒮r(ℬ) of all matrices A=[ajk] over ℬ such that ϕ[A[r]]:=[ϕ(|ajk|r)] defines a bounded operator from ℓp to ℓq for all ϕ∈s(ℬ) is shown to be a Banach algebra under the Schur product operation, and the norm ‖A‖=‖|A|‖p,q,r=sup{‖ϕ[A[r]]‖1/r:ϕ∈s(ℬ)}. Schatten's theorems about the dual of the compact operators, the trace-class operators, and the decomposition of the dual of the algebra of all bounded operators on a Hilbert space are extended to the 𝒮r(ℬ) setting.…”
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Tauberian-type theorems with application to the Stieltjes transformation by S. B. Gaikwad, M. S. Chaudhary

“…In the second part of the paper, we extend Tauberian-type theorems for the distributional Stieltjes transformations to the distributional modified Stieltjes transformations.…”
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On Gromov's theorem and L 2-Hodge decomposition by Fu-Zhou Gong, Feng-Yu Wang

“…In particular, some known results concerning Gromov's theorem and the L 2-Hodge decomposition are considerably improved.…”
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Commutativity theorems for rings and groups with constraints on commutators by Evagelos Psomopoulos

“…Moreover, example is given to show that the group theoretic analogue of this theorem is not true in general. However, it is true when t=s=0 and m=n+1.…”
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Local limit theorems for multiplicative functions on semigroups by Rimantas Skrabutėnas

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An application of the Sakai's theorem to the characterization of H*-algebras by Borut Zalar

“…The well-known Sakai's theorem, which states that every derivation acting on a von Neumann algebra is inner, is ,used to obtain a new elegant proof of the Saworotnow's characterization theorem for associative H*-algebras via two-sided H*-algebras. …”
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