Generalized first class selectors for upper semi-continuous set-valued maps in Banach spaces

被引：0

作者：

R. W. Hansell

L. Oncina

机构：

[1] University of Connecticut,Dept of Mathematics

[2] Universidad de Murcia,Depto de Matemáticas

来源：

Czechoslovak Mathematical Journal | 2005年 / 55卷

关键词：

measurable selectors; upper semi-continuous maps; point of continuity property;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper we deal with weakly upper semi-continuous set-valued maps, taking arbitrary non-empty values, from a non-metric domain to a Banach space. We obtain selectors having the point of continuity property relative to the norm topology for a large class of compact spaces as a domain. Exact conditions under which the selector is of the first Borel class are also investigated.

引用

页码：145 / 155

页数：10

共 50 条

[1] Generalized first class selectors for upper semi-continuous set-valued maps in Banach spaces
Hansell, RW
Oncina, L
[J]. CZECHOSLOVAK MATHEMATICAL JOURNAL, 2005, 55 (01) : 145 - 155
[2] UPPER SEMI-CONTINUOUS SET-VALUED MAPS
JAYNE, JE
ROGERS, CA
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1981, 293 (08): : 429 - 430
[3] 1ST CLASS SELECTORS FOR WEAKLY UPPER SEMI-CONTINUOUS MULTI-VALUED MAPS IN BANACH-SPACES
HANSELL, RW
JAYNE, JE
TALAGRAND, M
[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1985, 361 : 201 - 220
[4] ROUGH SEMI-CONTINUOUS SET-VALUED MAPS
Akcay, Fatma Gecit
Aytar, Salih
[J]. TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE, 2021, 175 (03) : 313 - 317
[5] Set optimization problems of generalized semi-continuous set-valued maps with applications
Chuang-liang Zhang
Nan-jing Huang
[J]. Positivity, 2021, 25 : 353 - 367
[6] Set optimization problems of generalized semi-continuous set-valued maps with applications
Zhang, Chuang-liang
Huang, Nan-jing
[J]. POSITIVITY, 2021, 25 (02) : 353 - 367
[7] UPPER SEMI-CONTINUOUS SET-VALUED FUNCTIONS
JAYNE, JE
ROGERS, CA
[J]. ACTA MATHEMATICA, 1982, 149 (1-2) : 87 - 125
[8] BOUNDARIES OF AND SELECTORS FOR UPPER SEMI-CONTINUOUS MULTI-VALUED MAPS
HANSELL, RW
JAYNE, JE
LABUDA, I
ROGERS, CA
[J]. MATHEMATISCHE ZEITSCHRIFT, 1985, 189 (03) : 297 - 318
[9] BOREL MEASURABLE SELECTORS FOR UPPER SEMI-CONTINUOUS MULTI-VALUED MAPS
JAYNE, JE
ROGERS, CA
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1984, 299 (05): : 125 - 128
[10] BAIRE CLASS-1 SELECTORS FOR UPPER SEMICONTINUOUS SET-VALUED MAPS
SRIVATSA, VV
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 337 (02) : 609 - 624

← 1 2 3 4 5 →