A modified hybrid projection method for solving generalized mixed equilibrium problems and fixed point problems in Banach spaces

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Publication Details

Author listSaewan S., Kumam P.

PublisherElsevier

Publication year2011

JournalComputers & Mathematics with Applications (0898-1221)

Volume number62

Issue number4

Start page1723

End page1735

Number of pages13

ISSN0898-1221

URLhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-80051794611&doi=10.1016%2fj.camwa.2011.06.014&partnerID=40&md5=1fe9725b1384d508af9a3666761c83a3

LanguagesEnglish-Great Britain (EN-GB)


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Abstract

In this paper, we introduce a modified new hybrid projection method for finding the set of solutions of the generalized mixed equilibrium problems and the convex feasibility problems for an infinite family of closed and uniformly quasi-φ-asymptotically nonexpansive mappings. Strong convergence theorems are established in a uniformly smooth and strictly convex Banach space which also enjoys the KadecKlee property. Our results improve and extend the corresponding results announced by Qin et al. (2010) and many authors. © 2011 Elsevier Ltd. All rights reserved.


Keywords

Convex feasibility problemsInverse strongly monotone operator


Last updated on 2023-03-10 at 07:35