Altun, IshakGencturk, IlkerErduran, Ali2025-01-212025-01-2120231392-51132335-8963https://doi.org/10.15388/namc.2023.28.33436https://hdl.handle.net/20.500.12587/25308In this paper, we introduce two new properties to the Q-function, called as the 0-property and the small self-distance property, which is frequently used in studies of fixed point theory in quasimetric spaces. Then, with the help of Q-functions having these properties, we present some fixed point theorems for Presic-type mappings in quasimetric spaces. Finally, we state a theorem for the existence and uniqueness of the solution to a boundary value problem for (p, q)-difference equations to demonstrate the applicability of our theoretical results, which we support with an example.eninfo:eu-repo/semantics/openAccessfixed point; quasimetric space; Presic-type mapping; Q-function; (p, q)-difference equationArticle2861089110210.15388/namc.2023.28.33436WOS:001144416600010Q1