Document Type : Original Article

Authors

• Maliha Rashid ¹
• Rabia Bibi ¹
• Reny George ^{2, 3}
• Zoran D. Mitrovic ⁴

¹ Department of Mathematics and Statistics, International Islamic University, 44000 Islamabad, Pakistan

² Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia

³ Department of Mathematics and Computer Science, St. Thomas College , Bhilai, Chhattisgarh, India

⁴ University of Banja Luka, Faculty of Electrical Engineering, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina

Abstract

The purpose of this article is to clarify the concept of semi-interior points of positive cones by presenting some results and examples in this context.  Moreover, the new concept of E(s)-distance spaces is defined, which generalizes $E$-metric spaces. In addition, some coincidence point results have been obtained that extend and generalize some known results in the literature.

Keywords

• E-distance space
• E(s)-distance space
• coincidence point
• fixed point, rational contraction