Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682214120230101Some discussion on generalizations of metric spaces in fixed point perspective18911901713710.22075/ijnaa.2022.26019.3192ENJayeshSavaliyaDepartment of Mathematics and Humanities, Sardar Vallabhbhai National Institute of Technology, Surat, Gujarat-395007, IndiaDhananjayGopalDepartment of Mathematics, Guru Ghasidas Vishwavidyalaya, Bilaspur, Chhattisgarh-495009, IndiaShailesh KumarSrivastavaDepartment of Mathematics and Humanities, Sardar Vallabhbhai National Institute of Technology, Surat, Gujarat-395007, India0000-0002-6039-5839Journal Article20220123The motive of this paper is to provide an understanding of the role of generalizations of metric spaces in a fixed point perspective. For this purpose, the concept of the pseudo non-triangular metric is introduced. Further, we study and analyze the structure of open sets, closed sets, and other topological properties of the new metric. Then, we compare it with JS-metric, strong JS-metric as well as non-triangular metric and observe that pseudo non-triangular metric becomes the bare minimum metric structure required to prove a new fixed point theorem for contractive type mappings. Finally, we establish the Caristi type fixed point theorem, which generalizes some well-known results, including recent developments by Karapinar et al. [15].https://ijnaa.semnan.ac.ir/article_7137_ac96d6e5747476464f5e2394d24120e7.pdf