Karapınar, ErdalAydi, HassenKarapinar, ErdalLakzian, HosseinMathematics2024-07-052024-07-052012232008-13592251-745610.1186/2251-7456-6-462-s2.0-85119482531https://doi.org/10.1186/2251-7456-6-46https://hdl.handle.net/20.500.14411/358KARAPINAR, ERDAL/0000-0002-6798-3254; Aydi, Hassen/0000-0003-4606-7211; Lakzian, Hosein/0000-0003-3936-8796Brianciari ('A fixed point theorem of Banach-Caccioppoli type on a class of generalized metric spaces,' Publ. Math. Debrecen 57 (2000) 31-37) initiated the notion of the generalized metric space as a generalization of a metric space in such a way that the triangle inequality is replaced by the 'quadrilateral inequality,' d(x, y) <= d(x, a) + d(a, b) + d(b, y) for all pairwise distinct points x, y, a, and b of X. In this paper, we establish a fixed point result for weak contractive mappings T : X -> X in complete Hausdorff generalized metric spaces. The obtained result is an extension and a generalization of many existing results in the literature.eninfo:eu-repo/semantics/closedAccessFixed pointContractive type mappingGeneralized metric spacesArticleQ1Q261WOS:000215738200046