Iterative roots of mappings with a unique set-value point

被引：0

作者：

Li, Lin ^{[1
,2
]}

Jarczyk, Justyna ^{[3
]}

Jarczyk, Witold ^{[3
]}

Zhang, Weinian ^{[1
,2
]}

机构：

[1] Sichuan Univ, Yangtze Ctr Math, Chengdu 610064, Sichuan, Peoples R China

[2] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China

[3] Univ Zielona Gora, Fac Math Comp Sci & Econometr, PL-65516 Zielona Gora, Poland

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 2009年 / 75卷 / 1-2期

关键词：

iterative root; multifunction; upper semicontinuity; monotonicity; BIJECTIONS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We continue the study of the existence of square iterative roots of multifunctions with exactly one set-value point, reported by the third and fourth authors in [7]. First we present nonexistence results in some cases not considered there. Then we give a full description of square roots of strictly monotone, upper semicontinuous multifunctions. The last extends the construction presented by M. KUCZMA [9].

引用

页码：203 / 220

页数：18

共 17 条

[1] [Anonymous], MONOGRAFIE MAT
[2] Babbage Ch., 1815, PHILOS T, P389
[3] Baron K., 2003, RECENT RESULTS THEOR
[4] Baron K., 2001, AEQUATIONES MATH, V61, P1, DOI DOI 10.1007/S000100050159
[5] On the nonexistence of iterative roots
Bogatyi, S
[J]. TOPOLOGY AND ITS APPLICATIONS, 1997, 76 (02) : 97 - 123
[6] HUMKE PD, 1986, P EDINBURGH MATH SOC, V32, P483
[7] On the smallest set-valued iterative roots of bijections
Jarczyk, W
Powierza, T
[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2003, 13 (07): : 1889 - 1893
[8] Jarczyk W, 2007, ELEMENT MATH, V62, P73
[9] KORDYLEWSKI J, 1959, ANN POL MATH, V7, P21
[10] Kuczma M., 1990, ENCY MATH ITS APPL, V32

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