UNIFIED FIXED POINT THEOREMS FOR COMPACT CLOSED MULTIMAPS IN GENERALIZED CONVEX SPACES

被引：0

作者：

Park, Sehie ^{[1
,2
]}

机构：

[1] Natl Acad Sci, Seoul, South Korea

[2] Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2008年 / 12卷 / 08期

关键词：

G-convex space; Klee approximable subset; Multimap (map) classes u(c)(k); B; k; kC; kD; Almost fixed point;

D O I：

10.11650/twjm/1500405130

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This is to establish a new fixed point theorem for compact closed multimaps in the better admissible class defined on subsets of generalized convex uniform spaces and having Klee approximable ranges. Our new theorem unifies a large number of previous results. Some of them are listed in the chronological order.

引用

页码：1979 / 1989

页数：11

共 50 条

[1] Fixed point theorems for compact multimaps on almost Γ-convex sets in generalized convex spaces
Kuo, Tian-Yuan
Jeng, Jyh-Chung
Huang, Young-Ye
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (02) : 415 - 426
[2] Fixed point theorems for better admissible multimaps on abstract convex spaces
Liu Xue-wen
Zhang Yue
Tan Ren-xin
[J]. APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2010, 25 (01) : 55 - 62
[3] Fixed point theorems for better admissible multimaps on abstract convex spaces
Liu Xue-wen
Zhang Yue
Tan Ren-xin
[J]. Applied Mathematics-A Journal of Chinese Universities, 2010, 25 : 55 - 62
[4] Fixed point theorems for better admissible multimaps on Abstract convex spaces
LIU Xue-wen ZHANG Yue TAN Ren-xin School of Mathematics and Computer Science
[J]. Applied Mathematics:A Journal of Chinese Universities, 2010, (01) : 55 - 62
[5] Fixed point theorems for better admissible multimaps on Abstract convex spaces
LIU Xuewen ZHANG Yue TAN Renxin School of Mathematics and Computer Science Chongqing Normal University Chongqing China
[J]. Applied Mathematics:A Journal of Chinese Universities(Series B)., 2010, 25 (01) - 62
[6] Common fixed point theorems for multimaps in locally convex spaces and some applications
HR Goudarzi
Hassan Azadi Kenary
Choonkil Park
[J]. Fixed Point Theory and Applications, 2013
[7] Common fixed point theorems for multimaps in locally convex spaces and some applications
Goudarzi, H. R.
Kenary, Hassan Azadi
Park, Choonkil
[J]. FIXED POINT THEORY AND APPLICATIONS, 2013,
[8] 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
[9] FIXED POINT THEOREMS IN MINIMAL GENERALIZED CONVEX SPACES
Darzi, Rahmat
Delavar, Mohsen Rostamian
Roohi, Mehdi
[J]. FILOMAT, 2011, 25 (04) : 165 - 176
[10] Remarks on fixed point theorems for generalized convex spaces
Park, S
[J]. FIXED POINT THEORY AND APPLICATIONS-BOOK, 2000, : 135 - 144

← 1 2 3 4 5 →