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A gap in the proof of Theorem 3.5 in the paper ``A new iteration process for approximation of common fixed points for finite families of total asymtotically nonexpansive mappings". Int. J. Math. Math. Sci. vol. 2009,…

Functional Analysis · Mathematics 2012-04-10 C. E. Chidume , E. U. Ofoedu

In this note, the correction to the proof of one theorem in some our previous paper [arXiv:1302.0589] will be given.

Rings and Algebras · Mathematics 2020-02-18 Bui Xuan Hai

We prove a combination theorem for PD(n)-pairs.

Group Theory · Mathematics 2018-12-31 Rita Gitik

In our previous work "Characterization of certain homorphic geodesic cycles on Hermitian locally symmetric manifolds of the noncompact type" in "Modern methods in Complex Analysis" Annals of Math. Studies 138 (1995) 85-118, we formulated a…

Algebraic Geometry · Mathematics 2007-05-23 Philippe Eyssidieux , Ngaiming Mok

B\'ar\'any, Kalai, and Meshulam recently obtained a topological Tverberg-type theorem for matroids, which guarantees multiple coincidences for continuous maps from a matroid complex to d-dimensional Euclidean space, if the matroid has…

Combinatorics · Mathematics 2017-05-11 Pavle V. M. Blagojević , Albert Haase , Günter M. Ziegler

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

We construct a counterexample to Theorem 2 of [Rafie-Rad M., Rezaei B., SIGMA 7 (2011), 085, 12 pages, arXiv:1108.6127].

Differential Geometry · Mathematics 2015-10-07 Vladimir S. Matveev

We establish fixed point theorems for nonlinear contractions on a metric space (not essentially complete) endowed with an arbitrary binary relation. Our results extend, generalize, modify and unify several known results especially those…

General Topology · Mathematics 2016-11-15 Md Ahmadullah , Mohammad Imdad , Rqeeb Gubran

This paper is devoted to present two counterexamples to the theorem from \cite{MK} Maria R., Katherine T. M., Bernardo S. M., Extremal graphs with bounded vertex bipartiteness number, Linear Algebra Appl. 493 (2016) 28-36. Moreover, the…

Combinatorics · Mathematics 2017-04-11 Jia-Bao Liu , Shaohui Wang

In this short note we present a simple counterexample to a nonlinear version of the Krein-Rutman theorem reported in [Nonlinear Anal. 11 (2007), 3084-3090]. Correct versions of this theorem, and related results for superadditive maps are…

Functional Analysis · Mathematics 2019-03-20 Ari Arapostathis

A theory of matchings for finite subsets of an abelian group, introduced in connection with a conjecture of Wakeford on canonical forms for homogeneous polynomials, has since been extended to the setting of field extensions and to that of…

Combinatorics · Mathematics 2026-02-03 Mohsen Aliabadi , Jozsef Losonczy

Several counterexample models to the Nelson-Seiberg theorem have been discovered in previous literature, with generic superpotentials respecting the R-symmetry and non-generic R-charge assignments for chiral fields. This work present a…

High Energy Physics - Theory · Physics 2021-10-28 Zheng Sun , Zipeng Tan , Lu Yang

We correct the statements of two theorems and two corollaries in our paper [On subgroup perfect codes in Cayley graphs, European J. Combin. 91 (2021) 103228]. Proofs of these theorems and three other results are given as well.

Combinatorics · Mathematics 2022-01-21 Junyang Zhang , Sanming Zhou

We prove some theorems which give sufficient conditions for the existence of prime numbers among the terms of a sequence which has pairwise relatively prime terms.

General Mathematics · Mathematics 2015-01-14 Konstantinos N. Gaitanas

This article corrects two mistakes in the article "Coarse homology theories" [math.AT/0106183].

Algebraic Topology · Mathematics 2014-10-01 Paul D. Mitchener

To verify the universal validity of the "two-sided" monotonicity condition introduced in [8], we will apply it to include more classical examples. The present paper selects the $L^{p}$ convergence case for this purpose. Furthermore, Theorem…

Classical Analysis and ODEs · Mathematics 2007-05-23 Rui-Jun Le , Song-Ping Zhou

We prove new results, related to the Littlewood and Mixed Littlewood conjectures in Diophantine approximation.

Number Theory · Mathematics 2013-05-07 Evgeni Dimitrov , Yakov Sinai

We fill in a gap in the proof of the main theorem in our earlier paper [Ol]. At the same time, we prove a slightly stronger version of the theorem needed for another paper.

Group Theory · Mathematics 2021-09-17 Bob Oliver

We clarify a number of points raised in [Matias, arXiv:cond-mat/0507471v2 (2005)].

Disordered Systems and Neural Networks · Physics 2007-05-23 S. Boccaletti , M. Chavez , A. Amann , D. -U. Hwang

We present a counter example to a theorem given by Amir {\em et al.} J. Math. Phys. {\bf 35}, 3005 (1994). We also comment on a misleading statements of the same reference.

General Relativity and Quantum Cosmology · Physics 2009-10-28 R. Bertolotti , G. Contreras , L. A. Núñez , U. Percoco , J. Carot
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