Some new fixed point theorems of generalized nonlinear contractive multivalued maps in complete metric spaces

被引:6
作者
Lin, Lai-Jiu [1 ]
Chuang, Chih-Sheng [1 ]
机构
[1] Natl Changhua Univ Educ, Dept Math, Changhua 50058, Taiwan
关键词
tau-function; w-distance; Nonlinear contractive map; Fixed point; Lower semicontinuity; Gauge function; MAPPINGS; PRINCIPLE;
D O I
10.1016/j.camwa.2011.09.001
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we present some new fixed point theorems for generalized nonlinear contractive multivalued maps and these results generalize or improve the corresponding recent fixed point results in the literature. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码:3555 / 3566
页数:12
相关论文
共 22 条
[1]  
Chang T. H., 1995, MATH JPN, V41, P311
[2]   Fixed point theorems for multi-valued contractions in complete metric spaces [J].
Ciric, Ljubomir .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 348 (01) :499-507
[3]   Multi-valued nonlinear contraction mappings [J].
Ciric, Ljubomir .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (7-8) :2716-2723
[4]  
Du W-S, 2008, INT MATH FORUM, V3, P1011
[5]   Some new results and generalizations in metric fixed point theory [J].
Du, Wei-Shih .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (05) :1439-1446
[6]   Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings [J].
Feng, YQ ;
Liu, SY .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 317 (01) :103-112
[7]  
Garcia-Falset J., 2010, SCI MATH JPN, V71, P83
[8]  
Kada O., 1996, Math Japon, V44, P381
[9]  
Kirk WA, 2010, FIXED POINT THEOR-RO, V11, P45
[10]   Fixed point theorems for set-valued contractions in complete metric spaces [J].
Klim, D. ;
Wardowski, D. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 334 (01) :132-139