New Fixed Point Theorems and Application of Mixed Monotone Mappings in Partially Ordered Metric Spaces

被引：0
|
作者：
Liu, Li [1 ]
Mao, Anmin [2 ]
Shi, Yingying [2 ]
机构：
[1] Jining Coll, Dept Math, Qufu 272155, Peoples R China
[2] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
来源：
JOURNAL OF FUNCTION SPACES | 2018年 / 2018卷
关键词：
BOUNDARY-VALUE-PROBLEMS; SYMMETRIC POSITIVE SOLUTIONS; DIFFERENTIAL-EQUATIONS; NONTRIVIAL SOLUTIONS; KIRCHHOFF TYPE; EXISTENCE; UNIQUENESS; SETS;
D O I：
10.1155/2018/9231508
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the existence of a coupled fixed point for mixed monotone mapping F:XxXX satisfying a new contractive inequality which involves an altering distance function in partially ordered metric spaces. We also establish some uniqueness results for coupled fixed points, as well as the existence of fixed points of mixed monotone operators. The presented results generalize and develop some existing results. In addition to an example as well as an application, we establish some uniqueness results for a system of integral equations.
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收藏
页数：11
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