Generalized mixed equilibrium problems for maximal monotone operators and two relatively quasi-nonexpansive mappings

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Author list: Wattanawitoon K., Kumam P.

Publication year: 2011

Journal: Thai Journal of Mathematics (1686-0209)

Volume number: 9

Issue number: 1

Start page: 165

End page: 189

Number of pages: 25

ISSN: 1686-0209

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-79960377118&partnerID=40&md5=2d6f8d422989bf2333a02d20f61feb39

Languages: English-Great Britain (EN-GB)

Abstract

In this paper, we prove the strong convergence theorems of modified hybrid projection methods for finding a common element of the set of solutions of generalized mixed equilibrium problems, the set of solution of the variational inequality operators of an inverse strongly monotone, the zero point of a maximal monotone operator and the set of fixed point of two relatively quasi-nonexpansive mappings in a Banach space. Our results modify and improve the recently ones announced by many authors. ฉ 2011 by the Mathematical Association of Thailand. All rights reserved.

Keywords

Inverse-strongly monotone, Relatively quasi-nonexanasive mappings, Variational inequality operators