Some fixed-point theorems for mixed monotone operators in partially ordered probabilistic metric spaces

被引：11

作者：

Wu, Jun ^{[1
]}

机构：

[1] Changsha Univ Sci Technol, Coll Math & Comp Sci, Changsha 410114, Hunan, Peoples R China

来源：

FIXED POINT THEORY AND APPLICATIONS | 2014年

基金：

中国国家自然科学基金;

关键词：

nonlinear contractive mapping; probabilistic metric space; monotone operator; fixed point; NONLINEAR CONTRACTIONS; PHI-CONTRACTIONS;

D O I：

10.1186/1687-1812-2014-49

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, some fixed-point theorems for nonlinear contractive operators in partially ordered Menger probabilistic metric spaces are proved. A new extension theorem of the probabilistic versions of Boyd and Wong's nonlinear contraction theorem is presented. As a consequence, our main results improve and generalize some recent coupled fixed-point theorems and coincidence-point theorems in (Ciric, Nonlinear Anal. 72: 2009-2018, 2010; Jachymski, Nonlinear Anal., 73:2199-2203, 2010; Ciric, Agarwal and Samet, Fixed Point Theory Appl. 2011:56, 2011).

引用

页数：12

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