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In this note a far extension of the Banach fixed point theorem is proved.

General Mathematics · Mathematics 2022-03-22 Lech Pasicki

The purpose of this note is to rephrase Speyer's elegant topological proof for Kasteleyn's Theorem in a simple graph theoretical manner.

Combinatorics · Mathematics 2018-10-10 Markus Fulmek

It is our aim in this note to give a counter example to an argument used in the proof of the main theorem of the paper: On iterations for families of asymptotically pseudocontractive mappings, Applied Mathematics Letters, 24 (2011), 33-38…

Functional Analysis · Mathematics 2010-10-25 Eric U. Ofoedu

This note corrects Example 3.2 in Two-Variable Wiman-Valiron Theory and PDEs by the authors which appeared in Ann. Acad. Sci. Fenn Math. (35) (2010), 571-580.

Complex Variables · Mathematics 2010-10-01 P. C. Fenton , John Rossi

In this paper, we prove a conjecture of Schnell in the surface case.

Algebraic Geometry · Mathematics 2024-02-27 Jun Lu , Wan-Yuan Xu

In this paper we provide an application to the Neumann problem of a recent three critical points theorem.

Analysis of PDEs · Mathematics 2009-02-04 Biagio Ricceri

In the paper are proved theorems, which amplify the results of my paper "On the difference equation of Poincare type (Part 3)", Max-Plank-Institut fuer Mathematik, Bonn, Preprint Series, 2004, 09, 1-34.

Number Theory · Mathematics 2007-05-23 L. A. Gutnik

Corollary 2.3 in our paper "A geometric proof of the Karpelevich-Mostow theorem", Bull. Lond. Math. Soc. 41 (2009), no. 4, 634-638, is false. Here we give a counterexample and show how to avoid the use of this corollary to give a simpler…

Differential Geometry · Mathematics 2016-05-23 Antonio J. Di Scala , Carlos Olmos

In the paper we investigate Borel classes of multivalued functions of two variables. In particular we generalize a result of Marczewski and Ryll-Nardzewski concerning of real function whose ones of its sections are right-continuous and…

General Topology · Mathematics 2007-05-23 Grazyna Kwiecinska

In this note, we combine ideas of several previous proofs in order to obtain a quite short proof of Gr\"otzsch theorem.

Combinatorics · Mathematics 2013-12-02 Zdeněk Dvořák

In this paper we study exponential maps ($\mathbb{G}_a$-actions) on the family of affine two dimensional surfaces of the form $f(x)y=\phi(x,z)$ over arbitrary fields, describe the Makar-Limanov invariant and Derksen invariant of these…

Commutative Algebra · Mathematics 2025-06-03 Debojyoti Saha

The purpose of this note is to provide a detailed proof of Nazarov's inequality stated in Lemma A.1 in Chernozhukov, Chetverikov, and Kato (2017, Annals of Probability).

Statistics Theory · Mathematics 2017-11-30 Victor Chernozhukov , Denis Chetverikov , Kengo Kato

We prove a better coloring theorem for aleph_4 and even aleph_3. This has a general topology consequence.

Logic · Mathematics 2019-01-29 Saharon Shelah

The aim of this short note is to provide a proof to a statement of Sierpi\'nski concerning the number of possible sums of a series (of type $\lambda<\aleph_1$) of arbitrary ordinal numbers.

Logic · Mathematics 2022-01-20 Marco Trombetti

Certain excess versions of the Minkowski and H\"older inequalities are given. These new results generalize and improve the Minkowski and H\"older inequalities.

Probability · Mathematics 2018-07-31 Iosif Pinelis

For finite sets A and B in the plane, we write A+B to denote the set of sums of the elements of A and B. In addition, we write tr(A) to denote the common number of triangles in any triangulation of the convex hull of A using the points of A…

Number Theory · Mathematics 2013-11-05 Karoly J. Boroczky , Benjamin Hoffman

In this note, we derive a Leibniz rule for difference quotient.

Number Theory · Mathematics 2026-02-03 Taekyun Kim , Dae san Kim

In this paper we present a more transparent upgrade of our proofs and comment on Jerabek's paper [8].

Computational Complexity · Computer Science 2026-05-14 Lev Gordeev , Edward Hermann Haeusler

This note shows that the three theorems presented in J. Math. Anal. Appl. 556 (2026), 130199, whose proofs, in their present formulation, are purely formal, follow from elementary calculus.

Classical Analysis and ODEs · Mathematics 2025-12-11 R. Álvarez-Nodarse , K. Castillo

We consider an abstract version of the Cauchy-Kowalewski Problem with the right hand side being free from the Lipschitz type conditions and prove the existence theorem.

Analysis of PDEs · Mathematics 2007-05-23 Oleg Zubelevich
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