A hybrid extragradient method for solving ky fan inequalities, variational inequalities and fixed point problems

Conference proceedings article

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Publication Details

Author list: Phiangsungnoen S., Kumam P.

Publication year: 2013

Volume number: 2203

Start page: 1042

End page: 1047

Number of pages: 6

ISBN: 9789881925268

ISSN: 2078-0958

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84880052673&partnerID=40&md5=68556ca5a22477a6a9d1afa09251ce1a

Languages: English-Great Britain (EN-GB)

Abstract

The purpose of this paper is to introduce a new hybrid extragradient iterative method for finding a common element of the set of points satisfying the Ky Fan inequalities, variational inequality and the set of fixed points of a strict pseudocontraction mapping in Hilbert spaces. Consequently, we obtain the strong convergence of an iterative algorithm generated by the hybrid extragradient projection method, under some suitable assumptions the function associated with Ky Fan inequality is pseudomonotone and weakly continuous.

Keywords

Extragradient method, Lipschitz continuity, Variational inequality problems, ξ-strict pseudocontraction