Document Type : Research Paper

Authors

• Hoda Hosseini ¹
• Madjid Eshaghi Gordji ²

¹ Departmant of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran

² Department of Mathematics, Faculty of Mathematics, Semnan University P.O. Box 35195-363, Semnan, Iran

Abstract

First we generalize the notion of O-sets and then we establish some fixed point theorems for Banach’s contraction and Suzuki type Θ-contraction in the setting of orthogonal modular metric spaces. The obtained results extend, generalize and improve many fixed point results given by some authors in the literature. Some examples are furnished to demonstrate the validity of these results.

Keywords

• Banach’s contraction
• Suzuki type Θ-contraction
• orthogonal modular metric space