Weak and strong convergence theorems for mixed equilibrium problems in Banach spaces
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Publication Details
Author list: Saewan S., Cho Y.J., Kumam P.
Publisher: Springer
Publication year: 2014
Journal: Optimization Letters (1862-4472)
Volume number: 8
Issue number: 2
Start page: 501
End page: 518
Number of pages: 18
ISSN: 1862-4472
eISSN: 1862-4480
Languages: English-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 theorem, φ{symbol}-Nonexpansive mapping