A constructive proof of Ky Fan’s coincidence theorem

被引：0

作者：

A. J. J. Talman

Z. Yang

机构：

[1] Tilburg University,CentER, Department of Econometrics and Operations Research

[2] Yokohama National University,Faculty of Business Administration

来源：

Mathematical Programming | 2009年 / 118卷

关键词：

Fan’s coincidence theorem; Fixed point; Simplicial algorithm; Upper semi-continuity;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We present a constructive proof for the well-known Ky Fan’s coincidence theorem through a simplicial algorithm. In a finite number of steps the algorithm generates a simplex containing an approximate coincidence point. In the limit, when the mesh size converges to zero, the sequence of approximations converges to a coincidence point.

引用

页码：317 / 325

页数：8

共 50 条

[21] A CONSTRUCTIVE PROOF OF GIBSON'S STABILITY THEOREM
Alabau-Boussouira, Fatiha
Cannarsa, Piermarco
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2013, 6 (03): : 611 - 617
[22] Gleason's theorem has a constructive proof
Richman, F
JOURNAL OF PHILOSOPHICAL LOGIC, 2000, 29 (04) : 425 - 431
[23] A CONSTRUCTIVE PROOF OF THE SKLAR'S THEOREM ON COPULAS
Anakkamatee, W.
Dhompongsa, S.
Tasena, S.
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2014, 15 (06) : 1137 - 1145
[24] On a Constructive Proof of Kolmogorov's Superposition Theorem
Braun, Juergen
Griebel, Michael
CONSTRUCTIVE APPROXIMATION, 2009, 30 (03) : 653 - 675
[25] On a Fixed Point Theorem of Ky Fan
Francesco S. De Blasi
Pando Gr. Georgiev
Acta Mathematica Sinica, 2002, 18 : 363 - 374
[26] SOME GENERALIZATIONS OF KY FAN'S BEST APPROXIMATION THEOREM
A.R.Khan
N.Hussain
A.B.Thaheem
Analysis in Theory and Applications, 2004, (02) : 189 - 198
[27] On a fixed point theorem of Ky Fan
De Blasi, FS
Georgiev, PG
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2002, 18 (02) : 363 - 374
[28] On a Fixed Point Theorem of Ky Fan
DE BLASI Francesco S.
GEORGIEV Pando Gr.
ActaMathematicaSinica(EnglishSeries), 2002, 18 (02) : 363 - 374
[29] A NOTE ON FAN,KY MINIMAX THEOREM
JOO, I
STACHO, LL
ACTA MATHEMATICA ACADEMIAE SCIENTIARUM HUNGARICAE, 1982, 39 (04): : 401 - 407
[30] A short proof of Ky Fan's arithmetic-geometric inequality
Mercer, AM
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 204 (03) : 940 - 942

← 1 2 3 4 5 →