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

Nonlinear Analysis

Francesca Vetro¹ 

[1] Ton Duc Thang University, Vietnam;

关键词: ordered S-G-contraction;    fixed point;    ordered metric space;    nonlinear contraction;   

DOI  :  10.15388/NA.2018.2.8

来源: DOAJ

【 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,φ)-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.

【 授权许可】

Unknown