Fixed point theorems of some mappings via interpolation in complete dislocated \(b\)-metric spaces
Fixed Point Methods and Optimization, Volume 3, Issue 3, December 2026, Pages 147–154
Jawad Ettayb
Independent researcher, Had Soualem, Morocco
Abstract
In this paper, we introduce interpolative Kannan type contraction mappings on a complete dislocated \(b\)-metric space. In particular, we discuss the existence of a fixed point of such a mapping in a complete dislocated \(b\)-metric space. Moreover, we introduce interpolative Reich-Rus-Čirić type contraction mappings and interpolative Hardy-Rogers type contraction mappings, Kannan-Čirić type contraction mappings and interpolative Kannan-Meir-Keeler type contractions on a complete dislocated \(b\)-metric space. In particular, we prove the existence of a fixed point of such mappings in a complete dislocated \(b\)-metric space.
Cite this Article as
Jawad Ettayb, Fixed point theorems of some mappings via interpolation in complete dislocated \(b\)-metric spaces, Fixed Point Methods and Optimization, 3(3), 147–154, 2026