Publication:
Strong convergence of a hybrid projection algorithm for equilibrium problems, variational inequality problems and fixed point problems in a banach space

Issued Date

2009-11-18

Resource Type

Article

ISSN

16870409
10853375

DOI

10.1155/2009/613524

Other identifier(s)

2-s2.0-70449436170

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Abstract and Applied Analysis. Vol.2009, (2009)

Suggested Citation

Wariam Chuayjan, Sornsak Thianwan Strong convergence of a hybrid projection algorithm for equilibrium problems, variational inequality problems and fixed point problems in a banach space. Abstract and Applied Analysis. Vol.2009, (2009). doi:10.1155/2009/613524 Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/27773

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Title

Strong convergence of a hybrid projection algorithm for equilibrium problems, variational inequality problems and fixed point problems in a banach space

Author(s)

Wariam Chuayjan
 Sornsak Thianwan

Other Contributor(s)

Mahidol University
 University of Phayao

Abstract

We introduce and study a new hybrid projection algorithm for finding a common element of the set of solutions of an equilibrium problem, the set of common fixed points of relatively quasi-nonexpansive mappings, and the set of solutions of the variational inequality for an inverse-strongly-monotone operator in a Banach space. Under suitable assumptions, we show a strong convergence theorem. Using this result, we obtain some applications in a Banach space. The results obtained in this paper extend and improve the several recent results in this area.

Keyword(s)

Mathematics

Availability

URI

https://repository.li.mahidol.ac.th/handle/123456789/27773

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