On some fixed points properties and convergence theorems for a Banach operator in hyperbolic spaces

Mebawondu, A. A; Jolaoso, L. O; Abass, H. A

dc.contributor.author	Mebawondu, A. A
dc.contributor.author	Jolaoso, L. O
dc.contributor.author	Abass, H. A
dc.date.accessioned	2022-06-28T09:58:09Z
dc.date.available	2022-06-28T09:58:09Z
dc.date.issued	2017
dc.identifier.citation	Mebawondu, 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. doi: 10.22075/ijnaa.2017.11887.1594	en_US
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/287
dc.description.abstract	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 ∆-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.	en_US
dc.description.sponsorship	Akindele Adebayo Mebawondu, Lateef Olakunle Jolaoso, Hammed Anuoluwapo Abass	en_US
dc.language.iso	en	en_US
dc.publisher	Int. J. Nonlinear Anal. Appl.	en_US
dc.relation.ispartofseries	8;2
dc.subject	Banach operator; uniformly convex hyperbolic spaces; strong and ∆-convergence theorem; Modified Picard Normal S-iteration. 2010 MSC: Primary 47A06, 47H09; Secondary 47H10; 49M05.	en_US
dc.title	On some fixed points properties and convergence theorems for a Banach operator in hyperbolic spaces	en_US
dc.type	Article	en_US