An iterative process for solving the constrained convex optimization problem via fixed point methods

Conference proceedings article

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Publication Details

Author list: Chamnarnpan T., Kumam P.

Publisher: Springer Science Business Media

Publication year: 2014

Volume number: 275 LNEE

Start page: 247

End page: 258

Number of pages: 12

ISBN: 9789400776838

ISSN: 1876-1100

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84958527840&doi=10.1007%2f978-94-007-7684-5_18&partnerID=40&md5=0d7f2825001ccfd2f7babb3041efe5f8

Languages: English-Great Britain (EN-GB)

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Abstract

In this paper, we introduce the iterative scheme for finding a common element of the set of fixed pointsand the set of equilibrium problems for nonexpansive mappings. We provide algorithm which strong convergence theorems are obtained in Hilbert spaces. Then, we apply these algorithm to solve some convex optimization problems. The results of this paper extend and improve several results presented in the literature in the recent past. ฉ 2014 Springer Science+Business Media Dordrecht.

Keywords

Optimization problem