Some Fixed Point Theorems for Nonlinear Set-Valued Contractive Mappings

被引：1

作者：

Liu, Zeqing ^{[3
]}

Wu, Zhihua ^{[3
]}

Kang, Shin Min ^{[1
,2
]}

Lee, Sunhong ^{[1
,2
]}

机构：

[1] Gyeongsang Natl Univ, Dept Math, Jinju 660701, South Korea

[2] Gyeongsang Natl Univ, RINS, Jinju 660701, South Korea

[3] Liaoning Normal Univ, Dept Math, Dalian 116029, Liaoning, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS | 2012年

关键词：

COMPLETE METRIC-SPACES;

D O I：

10.1155/2012/786061

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Four fixed point theorems for nonlinear set-valued contractive mappings in complete metric spaces are proved. The results presented in this paper are extensions of a few well-known fixed point theorems. Two examples are also provided to illustrate our results.

引用

页数：13

共 9 条

[1] Fixed point theorems for multi-valued contractions in complete metric spaces
Ciric, Ljubomir
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 348 (01) : 499 - 507
[2] Multi-valued nonlinear contraction mappings
Ciric, Ljubomir
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (7-8) : 2716 - 2723
[3] Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings
Feng, YQ
Liu, SY
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 317 (01) : 103 - 112
[4] Fixed point theorems for set-valued contractions in complete metric spaces
Klim, D.
Wardowski, D.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 334 (01) : 132 - 139
[5] On Fixed Point Theorems for Multivalued Contractions
Liu, Zeqing
Sun, Wei
Kang, Shin Min
Ume, Jeong Sheok
[J]. FIXED POINT THEORY AND APPLICATIONS, 2010,
[6] FIXED-POINT THEOREMS FOR MULTIVALUED MAPPINGS ON COMPLETE METRIC-SPACES
MIZOGUCHI, N
TAKAHASHI, W
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1989, 141 (01) : 177 - 188
[7] MULTI-VALUED CONTRACTION MAPPINGS
NADLER, SB
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1969, 30 (02) : 475 - &
[8] REICH S, 1974, ATTI ACCAD NAZ LIN, V57, P194
[9] Reich S., 1972, Boll. Unione Mat. Ital., V5, P26

← 1 →