OICC Press Mathematical Analysis and its Contemporary Applications 6 2 2024 03 20 Some remarks on generalized Sehgal-Guseman-like contractions and their fixed-point results 10.30495/maca.2024.2028255.1099 EN Nicola Fabiano Vinca Institute of Nuclear Sciences, National Institute of the Republic of Serbia, University of Belgrade, Mike Petrovica Alasa 12-14, 11351 Belgrade, Serbia Nikola Mirkov Vinca Institute of Nuclear Sciences, National Institute of the Republic of Serbia, University of Belgrade, Mike Petrovica Alasa 12-14, 11351 Belgrade, Serbia Stojan Radenovic Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11 120 Beograd 35, Serbia Journal Article 2024 03 20 The aim of this paper is to shed some light on the recently introduced generalized Sehgal-Guseman-like contractions with the help of D-functions from other aspects. For this purpose, we used the recently established connection of S-metric and b-metric spaces and thus switched to a new form of generalized Sehgal-Guseman-like contraction. Using that connection as well as the notion of a D-function, we were able to significantly improve recent results on generalized Sehgal-Guseman-like contractions and remove some of the confusion readers had when reading recent work on this topic. At the end of the paper, we listed all 120 possible generalized Sehgal-Guseman-like contractions within both S-metric and b-metric spaces. We admit that, for many of them, we do not yet know whether they have a (unique) fixed point. This opens the way for further research of generalized Sehgal-Guseman-like contractions in the mentioned frameworks of certain generalized metric spaces.