Karapınar, ErdalBilgili, NurcanKarapinar, ErdalSalimi, PeymanMathematics2024-07-052024-07-05201331029-242X10.1186/1029-242X-2013-392-s2.0-84884940876https://doi.org/10.1186/1029-242X-2013-39https://hdl.handle.net/20.500.14411/263KARAPINAR, ERDAL/0000-0002-6798-3254In this paper, we present two fixed point theorems on mappings, defined on GP-complete GP-metric spaces, which satisfy a generalized contraction property determined by certain upper semi-continuous functions. Furthermore, we illustrate applications of our theorems with a number of examples. Inspired by the work of Jachymski, we also establish equivalences of certain auxiliary maps in the context of GP-complete GP-metric spaces. MSC: 47H10, 54H25.eninfo:eu-repo/semantics/openAccessfixed pointpartial metric spaceGP-metric spaceArticleQ1WOS:000316086900001