Gulyaz, SelmaErhan, Inci M.Mathematics2024-07-052024-07-0520141029-242X10.1186/1029-242X-2014-1382-s2.0-84899760696https://doi.org/10.1186/1029-242X-2014-138https://hdl.handle.net/20.500.14411/257Gulyaz, Selma/0000-0002-1876-6560; ERHAN, INCI M./0000-0001-6042-3695Existence and uniqueness of fixed points of a mapping defined on partially ordered G-metric spaces is discussed. The mapping satisfies contractive conditions based on certain classes of functions. The results are applied to the problems involving contractive conditions of integral type and to a particular type of initial value problems for the nonhomogeneous heat equation in one dimension. This work is a generalization of the results published recently in (Gordji et al. in Fixed Point Theory Appl. 2012:74, 2012, doi:10.1186/1687-1812-2012-74) to G-metric space.eninfo:eu-repo/semantics/openAccessfixed point theoryG-metric spacesinitial value problemsArticleQ1WOS:0003382219000012