The new results in extended $b$-metric spaces and applications

Document Type : Research Paper


1 Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam

2 Muş Alparslan University

3 Faculty of Mechanical Engineering, Beograd Serbia


In this paper, we give a proof of the results of Miculescu and Mihail [J. Fixed Point Theory Appl. 19, 2153-2163 (2017)] and Suzuki [J. Inequal. Appl. 2017, Paper No. 256, 11 p.] in extended $b$-metric spaces. Also we give some applications of our result.