Coupled fixed-point theorems for contraction mapping induced by cone ball-metric in partially ordered spaces

被引：29
作者：
Sintunavarat, Wutiphol [3 ]
Cho, Yeol Je [1 ,2 ]
Kumam, Poom [3 ]
机构：
[1] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea
[2] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea
[3] KMUTT, Dept Math, Fac Sci, Bangkok 10140, Thailand
来源：
FIXED POINT THEORY AND APPLICATIONS | 2012年
基金：
新加坡国家研究基金会;
关键词：
coupled fixed point; mixed monotone property; cone metric space; cone ball-metric space; NONLINEAR CONTRACTIONS; MAPS; SETS;
D O I：
10.1186/1687-1812-2012-128
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Recently, Chen et al. (Appl. Math. Lett. 25:692-697, 2012) introduced the concept of the cone ball-metric and studied the common fixed-point theorems for the stronger Meir-Keeler cone-type function in cone ball-metric spaces. The purpose of this paper is to establish the coupled fixed-point theorems for nonlinear contraction mappings, which have a mixed monotone property by using the cone ball-metric. Also, we give some examples to validate our main results. At the end of this paper, we give an open problem for further investigation.
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页数：18
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