Fixed-point theory for set valued mappings between topological vector spaces having sufficiently many linear functionals

被引：6

作者：

Agarwal, RP

O'Regan, D

机构：

[1] Natl Univ Singapore, Dept Math, Singapore 119260, Singapore

[2] Natl Univ Ireland Univ Coll Galway, Dept Math, Galway, Ireland

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2001年 / 41卷 / 7-8期

关键词：

fixed-point theorems; multivalued maps; Hausdorff topological space; linear functionals; continuation theory;

D O I：

10.1016/S0898-1221(00)00329-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present new fixed-point theorems for multivalued maps on Hausdorff topological spaces having sufficiently many linear functionals. In addition, a continuation theory is presented for the maps discussed. (C) 2001 Elsevier Science Ltd. All rights reserved.

引用

页码：917 / 928

页数：12

共 12 条

[1] An essential map approach for multivalued A-proper, weakly inward, DKT and weakly closed maps
Agarwal, RP
O'Regan, D
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1999, 38 (7-8) : 89 - 100
[2] Aliprantis CD, 1994, INFINITE DIMENSIONAL
[3] A SELECTION THEOREM AND ITS APPLICATIONS
DING, XP
KIM, WK
TAN, KK
[J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1992, 46 (02) : 205 - 212
[4] Edwards R.E., 1965, Functional Analysis
[5] Floret K., 1980, LECT NOTES MATH, V801, P1
[6] KOTHE G, 1965, TOPOLOGICAL VECTOR S, V1
[7] Fixed point theorems for set-valued maps and existence principles for integral inclusions
O'Regan, D
Precup, R
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 245 (02) : 594 - 612
[8] O'Regan D., 1999, COMMUN APPL ANAL, V3, P433
[9] OREGAN D, 1997, P ROY IRISH ACAD A, V97, P101
[10] OREGAN D, IN PRESS B AUSTR MAT

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