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.
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收藏
页数：11
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