In this paper, we prove some fixed points properties and demiclosedness principle for a Banach operator in uniformly convex hyperbolic spaces. We further propose an iterative scheme for approximating a fixed point of a Banach operator and establish some strong and $\Delta$-convergence theorems for such operator in the frame work of uniformly convex hyperbolic spaces. The results obtained in this paper extend and generalize corresponding results on uniformly convex Banach spaces, CAT(0) spaces and many other results in this direction.
Mebawondu, A. A., Jolaoso, L. & Abass, H. (2017). On some fixed points properties and convergence theorems for a Banach operator in hyperbolic spaces. International Journal of Nonlinear Analysis and Applications, 8(2), 293–306. https://doi.org/10.22075/ijnaa.2017.11887.1594
MLA
Mebawondu, A. A., Jolaoso, L., & Abass, H. "On some fixed points properties and convergence theorems for a Banach operator in hyperbolic spaces", International Journal of Nonlinear Analysis and Applications, 8, 2, 2017, 293–306. doi: 10.22075/ijnaa.2017.11887.1594
HARVARD
Mebawondu, A. A., Jolaoso, L., & Abass, H. (2017). 'On some fixed points properties and convergence theorems for a Banach operator in hyperbolic spaces', International Journal of Nonlinear Analysis and Applications, 8(2), pp. 293–306. doi: 10.22075/ijnaa.2017.11887.1594
CHICAGO
Mebawondu, A. A., Jolaoso, L. & Abass, H., "On some fixed points properties and convergence theorems for a Banach operator in hyperbolic spaces." International Journal of Nonlinear Analysis and Applications, 8 2 (2017): 293–306, doi: 10.22075/ijnaa.2017.11887.1594
VANCOUVER
Mebawondu A. A., Jolaoso L., Abass H. On some fixed points properties and convergence theorems for a Banach operator in hyperbolic spaces. IJNAA. 2017;8(2):293–306. doi: 10.22075/ijnaa.2017.11887.1594
International Journal of Nonlinear Analysis and Applications