Karapınar, ErdalKhojasteh, FarshidKarapinar, ErdalRadenovic, StojanMathematics2024-07-052024-07-052013211024-123X1563-514710.1155/2013/5046092-s2.0-84884249981https://doi.org/10.1155/2013/504609https://hdl.handle.net/20.500.14411/297KARAPINAR, ERDAL/0000-0002-6798-3254; khojasteh, farhsid/0000-0002-3479-7674; Radenovic, Stojan/0000-0001-8254-6688; Khojasteh, Farshid/0000-0002-9300-8487We introduce the notion of theta-metric as a generalization of a metric by replacing the triangle inequality with a more generalized inequality. We investigate the topology of the spaces induced by a theta-metric and present some essential properties of it. Further, we give characterization of well-known fixed point theorems, such as the Banach and Caristi types in the context of such spaces.eninfo:eu-repo/semantics/openAccess[No Keyword Available]ArticleQ22013WOS:000324203500001