Document Type : Original Article

Authors

1 Vinča Institute of Nuclear Sciences - National Institute of the Republic of Serbia, University of Belgrade, Mike Petrovića Alasa 12--14, 11351 Belgrade, Serbia

2 University of Belgrade, Faculty of Mathematics, Studentski trg 16, 11000 Belgrade, Serbia

3 Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11 120 Beograd 35, Serbia

4 School of Electrical Engineering, University of Belgrade, Bulevar kralja Aleksandra 73, 11120 Belgrade, Serbia

Abstract

The results published by O. Yamaod and W. Sintunavarat in [On new orthogonal contractions in b-metric spaces, Intern. J. Pure Math., 5, \textbf{2018}, 37--40], and by K. Javed, H. Aydi, F. Uddin and M. Arshad in [On orthogonal partial b-metric spaces with an application, J. Mathematics (Hindawi), \textbf{2021}, Article ID 6692063, 7 pages] are discussed. First of all, some formulations that are not precise in these papers are commented. Then these results are extended and unified from the case of orthogonal $b$-metric and orthogonal partial $b$-metric spaces to the wider framework of orthogonal $b$-metric-like spaces. Moreover, some results are generalized by proving that the contraction parameter may belong to the wider set $[0,1)$.

Keywords