Nonlinear contractive and nonlinear compatible type mappings in Menger probabilistic metric spaces

被引:2
作者
Tang, Yong Kun [1 ]
Chang, Shih-sen [1 ]
Wang, Lin [1 ]
机构
[1] Yunnan Univ Finance & Econ, Coll Stat & Math, Kunming 650221, Yunnan, Peoples R China
来源
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年
基金
中国国家自然科学基金;
关键词
distribution function; probabilistic metric spaces; completeness; nonlinear contraction; compatible mapping; fixed point theorem; POINT THEOREMS;
D O I
10.1186/1029-242X-2014-347
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper some new fixed point theorems for nonlinear contractive type and nonlinear compatible type mapping in complete Menger probabilistic metric spaces are proved.
引用
收藏
页数:12
相关论文
共 11 条
[1]   Continuity properties of probabilistic norms [J].
Alsina, C ;
Schweizer, B ;
Sklar, A .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 208 (02) :446-452
[2]  
[Anonymous], 2011, Probabilistic Metric Spaces
[3]   FIXED-POINT THEOREMS IN PROBABILISTIC ANALYSIS [J].
BHARUCHAREID, AT .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 82 (05) :641-657
[4]  
Chang S., 1984, Fixed Point Theory and Applications
[5]  
Chang S-S, 2001, NONLINEAR OPERATOR T
[6]  
Chang SS, 1996, P AM MATH SOC, V124, P641
[7]  
Hadzic O., 2001, Fixed Point Theory in Probabilistic Metric Spaces
[8]   Coupled coincidence point theorems under contractive conditions in partially ordered probabilistic metric spaces [J].
Hu, Xin-qi ;
Ma, Xiao-yan .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (17) :6451-6458
[9]   COMMUTING MAPPINGS AND FIXED-POINTS [J].
JUNGCK, G .
AMERICAN MATHEMATICAL MONTHLY, 1976, 83 (04) :261-263
[10]   Nonlinear contraction theorems in probabilistic spaces [J].
O'Regan, Donal ;
Saadati, Reza .
APPLIED MATHEMATICS AND COMPUTATION, 2008, 195 (01) :86-93