The coincidence point results and rational contractions in E(s)-distance spaces

Rashid, Maliha; Bibi, Rabia; George, Reny; Mitrovic, Zoran D.

doi:10.30495/maca.2021.1931683.1012

The coincidence point results and rational contractions in E(s)-distance spaces

https://doi.org/10.30495/maca.2021.1931683.1012

Volume 3, Issue 2
Spring 2021

Pages 55-67

Mathematical Analysis and its Contemporary Applications

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