Topology of non-triangular metric spaces and related fixed point results

Non-triangular metric spaces have been introduced by Khojasteh and Khandani [12] in 2020. The concept of non-triangular is fresh therefore, requires quite some analysis on its topology. In this article, we made an attempt to study the topology giving a natural definition open sets context. introduction has shown that there no inherent need for triangle inequality prove various fixed point results. Keeping mind, give result Suzuki type Z-contractions context introducing new property maps.