Mixed monotone-generalized contractions in partially ordered probabilistic metric spaces

被引:39
作者
Ciric, Ljubomir [2 ]
Agarwal, Ravi P. [1 ]
Samet, Bessem [3 ]
机构
[1] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA
[2] Fac Mech Engn, Belgrade 11000, Serbia
[3] Univ Tunis, Ecole Super Sci & Tech Tunis, Dept Math, Bab Menara 1008, Tunisia
关键词
probabilistic metric spacemixed monotone property; partially ordered set; coupled coincidence fixed point; coupled fixed point; FIXED-POINT THEOREMS; NONLINEAR CONTRACTIONS; SETS; UNIQUENESS; EXISTENCE; MAPPINGS; MAPS;
D O I
10.1186/1687-1812-2011-56
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, a new concept of mixed monotone-generalized contraction in partially ordered probabilistic metric spaces is introduced, and some coupled coincidence and coupled fixed point theorems are proved. The theorems Presented are an extension of many existing results in the literature and include several recent developments. Mathematics Subject Classification: Primary 54H25; Secondary 47H10.
引用
收藏
页码:1 / 13
页数:13
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