Weak and strong convergence theorems for mixed equilibrium problems in Banach spaces

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Publication Details

Author listSaewan S., Cho Y.J., Kumam P.

PublisherSpringer

Publication year2014

JournalOptimization Letters (1862-4472)

Volume number8

Issue number2

Start page501

End page518

Number of pages18

ISSN1862-4472

eISSN1862-4480

URLhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84893738008&doi=10.1007%2fs11590-012-0593-2&partnerID=40&md5=e7abdc76869b8495813acad89a922a73

LanguagesEnglish-Great Britain (EN-GB)


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Abstract

In this paper, we introduce a new iterative scheme for finding a common element of the set of solutions of the mixed equilibrium problems and the set of fixed points for a φ{symbol}-nonexpansive mapping in Banach spaces by using sunny generalized nonexpansive retraction in Banach spaces. Moreover, we also apply our result for finding a zero point of maximal monotone operators. Finally, we give a numerical example to illustrate our main theorem. © 2012 Springer-Verlag Berlin Heidelberg.


Keywords

Strong and weak convergence theoremφ{symbol}-Nonexpansive mapping


Last updated on 2023-27-09 at 07:35