Convergence theorem for equilibrium problem and Bregman strongly nonexpansive mappings in Banach spaces

Journal article

Authors/Editors

POOM KUMAM

Strategic Research Themes

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Publication Details

Author list: Kumam W., Witthayarat U., Kumam P., Suantai S., Wattanawitoon K.

Publisher: Taylor and Francis Group

Publication year: 2016

Journal: Optimization (0233-1934)

Volume number: 65

Issue number: 2

Start page: 265

End page: 280

Number of pages: 16

ISSN: 0233-1934

eISSN: 1029-4945

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84953369231&doi=10.1080%2f02331934.2015.1020942&partnerID=40&md5=1de9ff36417bb3319683ccc46578e222

Languages: English-Great Britain (EN-GB)

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Abstract

In this paper, we present an iterative scheme for Bregman strongly nonexpansive mappings in the framework of Banach spaces. Furthermore, we prove the strong convergence theorem for finding common fixed points with the set of solutions of an equilibrium problem. ฉ 2015 Taylor & Francis.

Keywords

Bregman strongly nonexpansive mapping