Fixed point results for generalized contractions in S-metric spaces

Javed, Khalil; Uddin, Fahim; Adeel, Faizan; Arshad, Muhammad; Alaeidizaji, Hossein; Parvaneh, Vahid

doi:10.30495/maca.2021.1929557.1009

Fixed point results for generalized contractions in S-metric spaces

https://doi.org/10.30495/maca.2021.1929557.1009

Volume 3, Issue 2
Spring 2021

Pages 27-39

Mathematical Analysis and its Contemporary Applications

Document Type : Original Article

Authors

Khalil Javed ¹

Fahim Uddin ¹

Faizan Adeel ¹

Muhammad Arshad ¹

Hossein Alaeidizaji ²

Vahid Parvaneh ³

¹ Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan

² Department of Mathematics, Payame Noor University, Tehran, Iran

³ Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran

Abstract

In this paper, we discuss the existence of a fixed point for a generalized contraction in S-metric spaces. We furnish some examples in support of our main results. Our results generalize and improve many well-known results in the existing literature.

Keywords

Fixed point

generalized contraction

S-metric space