Some iterative method for finding a common zero of a finite family of accretive operators in Banach spaces

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Publication Details

Author list: Sitthithakerngkiet K., Sunthrayuth P., Kumam P.

Publisher: Springer

Publication year: 2017

Journal: Bulletin of the Iranian Mathematical Society (1017-060X)

Volume number: 43

Issue number: 1

Start page: 239

End page: 258

Number of pages: 20

ISSN: 1017-060X

eISSN: 1735-8515

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85013863166&partnerID=40&md5=a4f3d84d57657f5ace8edecca478566c

Languages: English-Great Britain (EN-GB)

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Abstract

The purpose of this paper is to introduce a new mapping for a finite family of accretive operators and introduce an iterative algorithm for finding a common zero of a finite family of accretive operators in a real reexive strictly convex Banach space which has a uniformly Gâteaux differentiable norm and admits the duality mapping jφ, where φ is a gauge function invariant on [0, ∞). Furthermore, we prove the strong convergence under some certain conditions. The results obtained in this paper improve and extend the corresponding ones announced by many others. © 2017 Iranian Mathematical Society.

Keywords

Common zero, Gauge function, Uniformly Gโteaux differentiable norm