CHARACTERIZATION OF QUASI-CONTINUITY OF MULTIFUNCTIONS OF TWO VARIABLES

被引：2

作者：

Fotiy, Olena ^{[1
]}

Maslyuchenko, Oleksandr ^{[2
]}

Nesterenko, Vasyl' ^{[1
]}

机构：

[1] Chernivtsi Natl Univ, Dept Math, Kotsubinsky Str 2, UA-58012 Chernovtsy, Ukraine

[2] Acad Pomeraniensis Slupsk, Inst Math, Arciszewskiego 22d, PL-76200 Slupsk, Poland

来源：

MATHEMATICA SLOVACA | 2016年 / 66卷 / 01期

关键词：

multifunction; upper quasi-continuity; lower quasi-continuity; symmetrically upper quasi-continuity; symmetrically lower quasi-continuity; upper horizontally quasi-continuity; lower horizontally quasi-continuity; SPACES;

D O I：

10.1515/ms-2015-0135

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that a compact-valued multifunction F : X x Y -> Z, where X is a Baire space and Y, Z are separable metrizable spaces, is quasi-continuous if and only if F is horizontally quasi-continuous and there exists an residual subset M of X such that for any x is an element of M the multifunction F-x = F(x, .) is quasi-continuous on Y. (C) 2016 Mathematical Institute Slovak Academy of Sciences

引用

页码：281 / 286

页数：6

共 50 条

[1] Quasi-continuity of multifunctions on bitopological spaces
Milan Matejdes
[J]. European Journal of Mathematics, 2021, 7 : 390 - 395
[2] Quasi-continuity of multifunctions on bitopological spaces
Matejdes, Milan
[J]. EUROPEAN JOURNAL OF MATHEMATICS, 2021, 7 (01) : 390 - 395
[3] A note on strong quasi-continuity of multifunctions
Kwiecinska, Grazyna
[J]. EUROPEAN JOURNAL OF MATHEMATICS, 2019, 5 (01) : 186 - 193
[4] A note on strong quasi-continuity of multifunctions
Grażyna Kwiecińska
[J]. European Journal of Mathematics, 2019, 5 : 186 - 193
[5] On symmetrical cliquishness and quasi-continuity of functions of two variables
Nesterenko, Vasyl'
[J]. TOPOLOGY AND ITS APPLICATIONS, 2014, 178 : 331 - 338
[6] Characterization of V-modules by Relative Quasi-continuity
刘仲奎
[J]. Communications in Mathematical Research, 2001, (02) : 151 - 158
[7] Sufficient conditions for the existence of points of symmetrically quasi-continuity and of symmetrically cliquishness of functions of two variables
Nesterenko, V. V.
[J]. CARPATHIAN MATHEMATICAL PUBLICATIONS, 2011, 3 (02) : 114 - 119
[8] Duality and quasi-continuity for supermartingales
Grecea, V
[J]. SEMINAIRE DE PROBABILITIES XXXVI, 2003, 1801 : 402 - 412
[9] QUASI-CONTINUITY, SEPARATE CONTINUITY AND EXTREMAL TOPOLOGY
TROALLIC, JP
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 110 (03) : 819 - 827
[10] TOPOLOGICAL GAMES AND STRONG QUASI-CONTINUITY
Mirmostafaee, Alireza Kamel
[J]. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2011, 5 (02) : 131 - 137

← 1 2 3 4 5 →