Fixed point theorems in locally G-convex spaces

被引：84

作者：

Park, S ^{[1
]}

机构：

[1] Seoul Natl Univ, Dept Math, Seoul 151742, South Korea

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 48卷 / 06期

关键词：

G-convex space; KKM theorem; C-space (or H-space); convex space; LG-space (locally G-convex space); multimap; (u.s.c; l.s.c; continuous; compact);

D O I：

10.1016/S0362-546X(00)00220-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Knaster-Kuratowski-Mazurkiewicz (KKM) theorem of nonlinear analysis was found to imply far-reaching generalizations of the Brouwer theorem including fixed-point theorems in generalized convex spaces. Generalized convex spaces were defined with examples of G-convex spaces. The fixed point theorems were derived for lower semicontinuous multimaps defined on paracompact LC-spaces.

引用

页码：869 / 879

页数：11

共 50 条

[1] Fixed point theorems for condensing multimaps on locally G-convex spaces
Huang, Young-Ye
Kuo, Tian-Yuan
Jeng, Jyh-Chung
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 67 (05) : 1522 - 1531
[2] NEW COLLECTIVELY FIXED POINT THEOREMS AND APPLICATIONS IN G-CONVEX SPACES
丁协平
Park Jong-yeoul
[J]. Applied Mathematics and Mechanics(English Edition), 2002, (11) : 1237 - 1249
[3] New collectively fixed point theorems and applications in G-convex spaces
Ding, MP
Park, JY
[J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2002, 23 (11) : 1237 - 1249
[4] Collectively fixed-point theorems in noncompact G-convex spaces
Ding, XP
Park, JY
[J]. APPLIED MATHEMATICS LETTERS, 2003, 16 (02) : 137 - 142
[5] Some fixed-point theorems on an almost G-convex subset of a locally G-convex space and its applications
Chen, CM
[J]. TAIWANESE JOURNAL OF MATHEMATICS, 2006, 10 (03): : 797 - 805
[6] Coincidences and fixed points in locally G-convex spaces
Watson, PJ
[J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1999, 59 (02) : 297 - 304
[7] Fixed point theorems in locally convex spaces
D. Bugajewski
[J]. Acta Mathematica Hungarica, 2003, 98 : 345 - 355
[8] Fixed point theorems in locally convex spaces
Bugajewski, D
[J]. ACTA MATHEMATICA HUNGARICA, 2003, 98 (04) : 345 - 355
[9] FIXED-POINT THEOREMS IN LOCALLY CONVEX SPACES
MORRISON, EJ
SEHGAL, VM
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (01): : A150 - A150
[10] Fixed points of upper semicontinuous mappings in locally G-convex spaces
Yuan, GXZ
[J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1998, 58 (03) : 469 - 478

← 1 2 3 4 5 →