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123,127 results

32. A note on the paper 'Contraction mappings in b-metric spaces' by Czerwik

Author

Sándor Kajántó and Andor Lukács

Subjects
Pure mathematics, General Mathematics, b-metric spaces, Metric space, TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGES, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, QA1-939, Contraction (operator theory), 47h10, Mathematics, fixed-point theorems
Abstract

In this paper we correct an inaccuracy that appears in the proof of Theorem 1. in Czerwik's article "Contraction mappings in $b$-metric spaces.", Acta Math. Inform. Univ. Ostraviensis, 1:5--11, 1993., 3 pages

Published
2018

34. Corrigendum to the paper 'Equivalence of the existence of best proximity points and best proximity pairs for cyclic and noncyclic nonexpansive mappings'

Author

Moosa Gabeleh

Subjects
47h09, Pure mathematics, uniformly convex banach space, 46b20, General Mathematics, QA1-939, best proximity (point) pair, Equivalence (measure theory), Mathematics, noncyclic (cyclic) contraction
Abstract

The purpose of this short note is to present a correction of the proof of the main result given in the paper “Equivalence of the existence of best proximity points and best proximity pairs for cyclic and noncyclic nonexpansive mappings,” Demonstr. Math. 53 (2020), 38–43.

Published
2021

37. What Have We (Not) Learnt from Millions of Scientific Papers with P Values?

Author

John P. A. Ioannidis

Subjects
Statistics and Probability, Empirical data, General Mathematics, 05 social sciences, 01 natural sciences, 050105 experimental psychology, 010104 statistics & probability, Statistical significance, Statistics, Statistical inference, 0501 psychology and cognitive sciences, p-value, 0101 mathematics, Statistics, Probability and Uncertainty, Mathematics, Statistical hypothesis testing
Abstract

P values linked to null hypothesis significance testing (NHST) is the most widely (mis)used method of statistical inference. Empirical data suggest that across the biomedical literature (1990–2015)...

Published
2019

38. Corrigendum to the paper 'On the ideal theorem for number fields' [Funct. Approximatio, Comment. Math. 53, No. 1, 31--45 (2015)]

Author

Olivier Bordellès

Subjects
11N37, 11R42, Pure mathematics, Ideal (set theory), Mathematics - Number Theory, General Mathematics, FOS: Mathematics, Number Theory (math.NT), Algebraic number field, Dedekind zeta function, Mathematics, Term (time)
Abstract

This paper is a corrigendum to the article ``On the ideal theorem for number fields''. The main result of this paper proves to be untrue and is replaced by an estimate of a weighted sum with an improved error term.

Published
2020

39. Comments on the Paper 'Lie Symmetry Analysis, Explicit Solutions, and Conservation Laws of a Spatially Two-Dimensional Burgers–Huxley Equation'

Author

Roman Cherniha

Subjects
Conservation law, Physics and Astronomy (miscellaneous), exact solution, General Mathematics, lcsh:Mathematics, Burgers–Fitzhugh–Nagumo equation, lcsh:QA1-939, 01 natural sciences, nonlinear evolution equation, Symmetry (physics), 010305 fluids & plasmas, Lie symmetry, Exact solutions in general relativity, Chemistry (miscellaneous), 0103 physical sciences, Computer Science (miscellaneous), 010306 general physics, Mathematics, Mathematical physics
Abstract

This comment is devoted to the paper “Lie Symmetry Analysis, Explicit Solutions, and Conservation Laws of a Spatially Two-Dimensional Burgers–Huxley Equation” (Symmery, 2020, vol.12, 170), in which several results are either incorrect, or incomplete, or misleading.

Published
2020

40. (CMMSE paper) A finite‐difference model for indoctrination dynamics

Author

María G. Medina-Guevara, Héctor Vargas-Rodríguez, and Pedro B. Espinoza-Padilla

Subjects
Agent-based model, Finite difference model, Opinion dynamics, General Mathematics, Dynamics (mechanics), Indoctrination, General Engineering, Applied mathematics, Mathematics
Published
2018