SOME CONVERGENCE RESULTS FOR JUNGCK-AM ITERATIVE PROCESS IN HYPERBOLIC SPACES

Mebawondu, A. A; Mewomo, O. T

dc.contributor.author	Mebawondu, A. A
dc.contributor.author	Mewomo, O. T
dc.date.accessioned	2022-06-28T11:24:29Z
dc.date.available	2022-06-28T11:24:29Z
dc.date.issued	2019-05-27
dc.identifier.citation	Mebawondu, A. A. & Mewomo, O. T. (2019). SOME CONVERGENCE RESULTS FOR JUNGCK-AM ITERATIVE PROCESS IN HYPERBOLIC SPACES. SCHOOL OF MATHEMATICS, STATISTICS AND COMPUTER SCIENCE, UNIVERSITY OF KWAZULU-NATAL, DURBAN, SOUTH AFRICA	en_US
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/292
dc.description.abstract	In this paper, we introduce a new three steps iterative process called Jungck-AM iterative process and show that the proposed iterative process can be used to approximate fixed points of Jungck-contractive type mappings and Jungck-Suzuki type mappings. In addition, we establish some strong and ∆-convergence results for the approximation of fixed points of JungckSuzuki type mappings in the frame work of uniformly convex hyperbolic space. Furthermore, we show that the newly proposed iterative process has a better rate of convergence compare to the Jungck-Noor, Jungck-SP, Jungck-CR and some existing iterative processes in the literature. Finally, stability, data dependency results for Jungck-AM iterative process is established and we present an analytical proof and numerical examples to validate our claim.	en_US
dc.description.sponsorship	AKINDELE ADEBAYO MEBAWONDU AND OLUWATOSIN TEMITOPE MEWOMO	en_US
dc.language.iso	en	en_US
dc.publisher	The Australian Journal of Mathematical Analysis and Applications	en_US
dc.relation.ispartofseries	16;1
dc.subject	Jungck-Suzuki nonexpansive mapping; Jungck-AM iterative process; Uniformly convex hyperbolic space; stability; data dependency; strong and ∆-convergence theorems.	en_US
dc.title	SOME CONVERGENCE RESULTS FOR JUNGCK-AM ITERATIVE PROCESS IN HYPERBOLIC SPACES	en_US
dc.type	Article	en_US