Probabilistic G-contractions

被引：19

作者：

Kamran, Tayyab ^{[1
]}

Samreen, Maria ^{[2
]}

Shahzad, Naseer ^{[3
]}

机构：

[1] Quaid I Azam Univ, Dept Math, Islamabad, Pakistan

[2] Natl Univ Sci & Technol, Ctr Adv Math & Phys, Islamabad, Pakistan

[3] King Abdulaziz Univ, Dept Math, Jeddah 21413, Saudi Arabia

来源：

FIXED POINT THEORY AND APPLICATIONS | 2013年

关键词：

fixed point; Menger PM-space; directed graph; Picard operator; FIXED-POINT THEOREMS; PARTIALLY ORDERED SETS; METRIC-SPACES;

D O I：

10.1186/1687-1812-2013-223

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we introduce the notion of probabilistic G-contraction and establish some fixed point theorems in such settings. Our results generalize/extend some recent results of Jachymski and Sehgal and Bharucha-Reid. Consequently, we obtain fixed point results for -chainable PM-spaces and for cyclic operators. MSC: 47H10, 54H25.

引用

页数：14

共 21 条

[1] Generalized contractions in partially ordered metric spaces [J].