The hybrid projection algorithm for finding the common fixed points of nonexpansive mappings and the zeroes of maximal monotone operators in Banach spaces

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Publication Details

Author list: Saewan S., Kumam P., Kanjanasamranwong P.

Publisher: Taylor and Francis Group

Publication year: 2014

Journal: Optimization (0233-1934)

Volume number: 63

Issue number: 9

Start page: 1319

End page: 1338

Number of pages: 20

ISSN: 0233-1934

eISSN: 1029-4945

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84903541849&doi=10.1080%2f02331934.2012.724686&partnerID=40&md5=22fb2ebb55b6c4d2f962ea85af05a3c2

Languages: English-Great Britain (EN-GB)

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Abstract

The proposal of this article is to construct a new modified block by using the hybrid projection method and prove the strong convergence theorem for this method, which include the fixed point set of an infinite family of weak relatively nonexpansive mappings and zeroes of a finite family of maximal monotone operators in a uniformly smooth and strictly convex Banach space with the Kadec-Klee property. The results presented in this article improve and generalize some well-known results in the literature. ฉ 2014 Copyright Taylor & Francis Group, LLC.

Keywords

modified block iterative method