F-closed sets and coupled fixed point theorems without the mixed monotone property

被引：26

作者：

Kutbi, Marwan Amin ^{[1
]}

Roldan, Antonio ^{[2
]}

Sintunavarat, Wutiphol ^{[3
]}

Martinez-Moreno, Juan ^{[2
]}

Roldan, Concepcion ^{[4
]}

机构：

[1] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia

[2] Univ Jaen, Dept Math, Campus Lagunillas S-N, Jaen 23071, Spain

[3] Thammasat Univ, Dept Math & Stat, Fac Sci & Technol, Rangsit Ctr, Pathum Thani 12121, Thailand

[4] Univ Granada, Dept Stat & Operat Res, E-18071 Granada, Spain

来源：

FIXED POINT THEORY AND APPLICATIONS | 2013年

关键词：

partially ordered set; fixed point; contractive mapping; mixed monotone property; F-invariant set; PARTIALLY ORDERED SETS; CONE METRIC-SPACES; NONLINEAR CONTRACTIONS; MAPPINGS; COINCIDENCE;

D O I：

10.1186/1687-1812-2013-330

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we present the notion of F-closed set (which is weaker than the concept of F-invariant set introduced in Samet and Vetro (Ann. Funct. Anal. 1:46-56, 2010), and we prove some coupled fixed point theorems without the condition of mixed monotone property. Furthermore, we interpret the transitive property as a partial preorder and, then, some results in that paper and in Sintunavarat et al. (Fixed Point Theory Appl. 2012:170, 2012) can be reduced to the unidimensional case.

引用

页数：11

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