Nicola Fabiano; Zoran Kadelburg; Stojan Radenovic; Milica Savatovic
Abstract
The results published by O. Yamaod and W. Sintunavarat in [On new orthogonal contractions in b-metric spaces, Intern. J. Pure Math., 5, 2018, 37--40], and by K. Javed, H. Aydi, ...
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The results published by O. Yamaod and W. Sintunavarat in [On new orthogonal contractions in b-metric spaces, Intern. J. Pure Math., 5, 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), 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 $[0,1)$.
