Convergence of modified S-iteration process for two asymptotically nonexpansive mappings in the intermediate sense in CAT(0) spaces

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Publication Details

Author list: Kumam P., Saluja G.S., Nashine H.K.

Publisher: SpringerOpen

Publication year: 2014

Journal: Journal of Inequalities and Applications (1025-5834)

Volume number: 2014

Issue number: 1

ISSN: 1025-5834

eISSN: 1029-242X

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84923107498&doi=10.1186%2f1029-242X-2014-368&partnerID=40&md5=b90a8c7838e8dc43ada641f4620199d2

Languages: English-Great Britain (EN-GB)

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Abstract

The purpose of this paper is to study modified S-iteration process and investigate the existence and convergence theorems in the setting of CAT(0) spaces for a class of mappings which is wider than that of asymptotically nonexpansive mappings. Our results generalize, unify and extend several comparable results in the existing literature. ฉ 2014, Kumam et al.; licensee Springer.

Keywords

asymptotically nonexpansive mapping in the intermediate sense, CAT(0) space, modified S-iteration process