Modified Mann iterative algorithms by hybrid projection methods for nonexpansive semigroups and mixed equilibrium problems

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Publication Details

Author list: Katchang P., Kumam P.

Publisher: De Gruyter

Publication year: 2012

Journal: Journal of Applied Analysis (1425-6908)

Volume number: 18

Issue number: 2

Start page: 259

End page: 273

Number of pages: 15

ISSN: 1425-6908

eISSN: 1869-6082

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84872946503&doi=10.1515%2fjaa-2012-0017&partnerID=40&md5=b9ccd9d179fee801aa8421cd6d0013aa

Languages: English-Great Britain (EN-GB)

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Abstract

In this paper, we propose a modified Mann iterative algorithm by two hybrid projection methods for finding a common element of the set of fixed points of nonexpansive semigroups and the set of solutions of a mixed equilibrium problem in a real Hilbert space. Then, we obtain interesting and new strong convergence theorems for the sequences generated by these processes by using the hybrid projection methods in the mathematical programming. The results presented in this paper extend and improve the corresponding one by Nakajo and Takahashi [J. Math. Anal. Appl. 279 (2003), 372-379]. ฉ de Gruyter 2012.

Keywords

Hybrid projection methods, Nonexpansive semigroup