Fixed point theorems of some mappings via interpolation in quasi \(2\)-Banach spaces
Fixed Point Methods and Optimization, Volume 3, Issue 2, August 2026, Pages 98–113
JAWAD ETTAYB
33 Hay El Menzeh, Road of El Jaddida, Had Soualem, 26402, Morocco
Abstract
In this paper, we demonstrate a fixed point theorem for contraction mappings in quasi \(2\)-Banach spaces which is a generalization of a Banach contraction mapping principle. On the other hand, we introduce Kannan type contraction mappings and Chatterjea type contraction mappings on a quasi \(2\)-Banach space. In particular, we prove the existence and uniqueness of a fixed point of such mappings in \(2\)-Banach spaces. However, we introduce generalized Chatterjea type contraction mappings on quasi \(2\)-Banach spaces. In particular, we prove the existence and uniqueness of a fixed point of such mappings in quasi \(2\)-Banach spaces. Furthermore, we present common fixed points of mappings in a quasi $2$-Banach space. Moreover, we introduce interpolative Kannan type contraction mappings, interpolative Reich-Rus-Ćirić type contraction mappings, interpolative Hardy-Rogers type contraction mappings, interpolative Kannan-Ćirić type contraction mappings and interpolative Kannan-Meir-Keeler type contractions on quasi $2$-Banach spaces. As a result, we prove the existence of a fixed point of such mappings in quasi \(2\)-Banach spaces.
Cite this Article as
Jawad Ettayb, Fixed point theorems of some mappings via interpolation in quasi \(2\)-Banach spaces, Fixed Point Methods and Optimization, 3(2), 98–113, 2026