Karapinar, ErdalAksoy, UmitFulga, AndreeaErhan, Inci M.2024-03-262025-09-182024-03-262025-09-182022Karapınar, Erdal;...et.al. (2022). "Fixed Point Theorems For Mappings With A Contractive Iterate At A Point In Modular Metric Spaces", Fixed Point Theory, Vol.23, No.2, pp.519-532.1583-50222066-9208https://doi.org/10.24193/fpt-ro.2022.2.07https://hdl.handle.net/20.500.12416/11329Erhan, Inci M./0000-0001-6042-3695In this manuscript, we introduce two new types of contraction, namely, w-contraction and strong Sehgal w-contraction, in the framework of modular metric spaces. We indicate that under certain assumptions, such mappings possess a unique fixed point. For the sake of completeness, we consider examples and an application to matrix equations.eninfo:eu-repo/semantics/closedAccessModular Metric SpaceFixed PointContractive Iterate At A PointFixed Point Theorems for Mappings With a Contractive Iterate at a Point in Modular Metric SpacesFixed Point Theorems For Mappings With A Contractive Iterate At A Point In Modular Metric SpacesArticle10.24193/fpt-ro.2022.2.072-s2.0-85134179358