Common endpoints of generalized Suzuki-Kannan-Ćirić type mappings in hyperbolic spaces. (English) Zbl 1524.54113
Summary: In this paper, we introduce the concept of generalized Suzuki-Kannan-Ćirić type mappings in metric spaces and show that it is weaker than the concept of Suzuki-Kannan-Ćirić type mappings but stronger than the concept of semi-nonexpansive mappings. Moreover, we obtain the semiclosed principle and endpoint theorems for the class of generalized Suzuki-Kannan-Ćirić type mappings. The strong and \(\Delta\)-convergence theorems of the Kuhfitting iteration for this class of mappings are also discussed.
MSC:
54H25 | Fixed-point and coincidence theorems (topological aspects) |
54C60 | Set-valued maps in general topology |
54E40 | Special maps on metric spaces |
65J15 | Numerical solutions to equations with nonlinear operators |