OICC Press Mathematical Analysis and its Contemporary Applications 7 4 2025 11 10 Fixed point theorems of some mappings via interpolation in 2-Banach spaces 10.30495/maca.2025.2068954.1146 EN Jawad Ettayb Independent Researcher, Had Soualem, Morocco https://orcid.org/0000-0002-4819-943X Journal Article 2025 11 10 In this article, we introduce weak contractive mappings and interpolative Kannan-type contraction mappings on a 2-Banach space. In particular, we discuss the existence and uniqueness of a fixed point of such mappings in a 2-Banach space. However, we define interpolative Reich-Rus-Ćirić type contraction mappings and interpolative Hardy-Rogers type contraction mappings, Kannan-Ćirić type contraction mappings and interpolative Kannan-Meir-Keeler type contractions on a 2-Banach space. In particular, we prove the existence of a fixed point of such mappings in a 2-Banach space.