On equilibrium theorem

Przemysław Tkacz

Published: 2005-09-30

Vol. 19 (2005)

On equilibrium theorem

Przemysław Tkacz

Abstract

We prove that for given sets A₀,...,A_n ⊂ Rⁿ such as D_i ⊂ A_i for each i = 0,...,n exists a point x∈D such as d(x,A₀) = ... = d(x,A_n)- This proof gives an algorithm of finding the point x.

Keywords:

Sperner's lemma , equilibrium theorem

Download files

PDF

Citation rules

Tkacz, P. (2005). On equilibrium theorem. Annales Mathematicae Silesianae, 19, 59–63. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14085

Similar Articles

Wojciech Surówka, A discrete form of Jordan curve theorem , Annales Mathematicae Silesianae: Vol. 7 (1993)
Eugeniusz Barcz, On the two-dimensional version of the Sperner Lemma and Brouwer's theorem , Annales Mathematicae Silesianae: Vol. 36 No. 2 (2022)
Marek Kuczma, On some analogies between measure and category and their applications in the theory of additive functions , Annales Mathematicae Silesianae: Vol. 1 (1985)
Zofia Muzyczka, On functional-differential equations with advancing argument , Annales Mathematicae Silesianae: Vol. 2 (1986)
Zsolt Páles, An elementary proof for the decomposition theorem of Wright convex functions , Annales Mathematicae Silesianae: Vol. 34 No. 1 (2020)
Dok Yong Kim, Remarks on maps of inverse limits , Annales Mathematicae Silesianae: Vol. 4 (1990)
Małgorzata Wróbel, On functions of bounded n-th variation , Annales Mathematicae Silesianae: Vol. 15 (2001)
Thomas C. Palfrey, Density theorems for reciprocity equivalences , Annales Mathematicae Silesianae: Vol. 12 (1998)
Eugeniusz Barcz, A new proof and consequences of the fixed point theorem of Matkowski , Annales Mathematicae Silesianae: Vol. 35 No. 2 (2021)
Mian Bahadur Zada, Muhammad Sarwar, Fixed point results satisfying rational type contractive conditions in complex valued metric spaces – revisited , Annales Mathematicae Silesianae: Vol. 31 (2017)

1 2 3 4 5 6 7 8 > >>

You may also start an advanced similarity search for this article.

Vol. 19 (2005)
Published: 2005-09-30

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

Submit

This website uses cookies for proper operation, in order to use the portal fully you must accept cookies.