Fixed point results for ordered S-G-contractions in ordered metric spaces

被引：12
|
作者：
Vetro, Francesca [1 ,2 ]
机构：
[1] Ton Duc Thang Univ, Nonlinear Anal Res Grp, Ho Chi Minh City, Vietnam
[2] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam
来源：
NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2018年 / 23卷 / 02期
关键词：
ordered S-G-contraction; fixed point; ordered metric space; nonlinear contraction; SIMULATION FUNCTIONS; NONLINEAR CONTRACTIONS; EQUATIONS; THEOREMS; SETS;
D O I：
10.15388/NA.2018.2.8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove existence and uniqueness of fixed point in the setting of ordered metric spaces. Precisely, we combine the recent notions of (F; phi)-contraction and Z-contraction in order to introduce the notion of ordered S-G-contraction. Then we use the notion of ordered S-G-contraction to show existence and uniqueness of fixed point. We stress that the notion of ordered S-G-contraction includes different types of ordered contractive conditions in the existing literature. Also, we give some examples and additional results in ordered partial metric spaces to support the new theory.
引用
收藏
页码：269 / 283
页数：15
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