On strong and Δ-convergence of modified S-iteration for uniformly continuous total asymptotically nonexpansive mappings in CAT(κ) spaces

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Publication Details

Author list: Saipara P., Chaipunya P., Cho Y.J., Kumam P.

Publication year: 2015

Journal: Journal of Nonlinear Science and Applications (2008-1898)

Volume number: 8

Issue number: 6

Start page: 965

End page: 975

Number of pages: 11

ISSN: 2008-1898

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84938853254&partnerID=40&md5=04d3408ec18b09a77caab76bd214d9a4

Languages: English-Great Britain (EN-GB)

Abstract

In this paper, we obtain strong and Δ-convergence theorems of modified S-iteration for total asymptotically nonexpansive mappings in CAT(κ) spaces with κ > 0. Our results extend and improve the corresponding recent results announced by Panyanak [B. Panyanak, J. Inequal. Appl., 2014 (2014), 13 pages] and many authors. © 2015 All rights reserved.

Keywords

CAT(κ) space, Δ - convergence