A new hybrid relaxed extragradient algorithm for solving equilibrium problems, variational inequalities and fixed point problems

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Publication Details

Author list: Phiangsungnoen S., Kumam P.

Publisher: Springer Science Business Media

Publication year: 2014

Volume number: 275 LNEE

Start page: 373

End page: 389

Number of pages: 17

ISBN: 9789400776838

ISSN: 1876-1100

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84958550048&doi=10.1007%2f978-94-007-7684-5_26&partnerID=40&md5=be0d0b856194cc5a990d89b69b5f5e73

Languages: English-Great Britain (EN-GB)

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Abstract

The purpose of this paper is to introduce a new hybrid relaxed extragradient iterative method for finding a common element of the solution of set a equilibrium, variational inequality and the set of fixed point of a-strict pseudocontraction mapping in Hilbert spaces. We obtain a strong convergence theorem of the purposed iterative algorithm under some suitable conditions. The results presented in this paper generalize, improve and extend some well-known results in the literature. ฉ 2014 Springer Science+Business Media Dordrecht.

Keywords

Hybrid relaxed extragradient method, Strict pseudocontraction mapping