Fixed point results for ordered S-G-contractions in ordered metric spaces
Articles
Francesca Vetro
Ton Duc Thang University, Vietnam
Published 2018-04-12
https://doi.org/10.15388/NA.2018.2.8
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Keywords

ordered S-G-contraction
fixed point
ordered metric space
nonlinear contraction

How to Cite

Vetro F. (2018) “Fixed point results for ordered S-G-contractions in ordered metric spaces”, Nonlinear Analysis: Modelling and Control, 23(2), pp. 269-283. doi: 10.15388/NA.2018.2.8.

Abstract

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.

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