A LERAY-SCHAUDER TYPE THEOREM FOR APPROXIMABLE MAPS

被引：27

作者：

BENELMECHAIEKH, H ^{[1
]}

IDZIK, A ^{[1
]}

机构：

[1] POLISH ACAD SCI,INST COMP SCI,PL-01237 WARSAW,POLAND

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1994年 / 122卷 / 01期

关键词：

D O I：

10.2307/2160848

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present an elementary proof of a Leray-Schauder type theorem for approximable set-valued maps. Our theorem generalizes many results for convex as well as nonconvex maps. Our argument is not based on a homotopy invariance property but, quite surprisingly, on a matching theorem of Ky Fan on closed covers of convex sets.

引用

页码：105 / 109

页数：5

共 18 条

[1] APPROACHABILITY AND FIXED-POINTS FOR NONCONVEX SET-VALUED MAPS [J].

BENELMECHAIEKH, H ;

DEGUIRE, P .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1992, 170 (02) :477-500

[2]

BENELMECHAIEKH H, 1992, APPROXIMATION MULTIF

[3]

BENELMECHAIEKH H, 1989, CHINESE J MATH, V17, P309

[4]

BENELMECHAIEKH H, 1992, CRM1820 U MONTR RAPP

[5] EXTENSIONS AND SELECTIONS OF MAPS WITH DECOMPOSABLE VALUES [J].

BRESSAN, A ;

COLOMBO, G .

STUDIA MATHEMATICA, 1988, 90 (01) :69-86

[6]

CELLINA A, 1969, ATTI ACCAD NAZ LIN, V47, P429

[7]

Dugundji J., 1970, FUND MATH, V66, P223

[8] SOME PROPERTIES OF CONVEX-SETS RELATED TO FIXED-POINT THEOREMS [J].

FAN, K .

MATHEMATISCHE ANNALEN, 1984, 266 (04) :519-537

[9]

GORNIEWICZ L, 1990, APPROXIMABLE MULTIVA

[10]

GRANAS A, 1989, C R ACAD SCI PARI IM, V308, P449

← 1 2 →