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Convergence theorems on generalized equilibrium problems and fixed point problems with applications

In this paper, we introduce an iterative algorithm for finding a common element in the set of solutions to generalized equilibrium problems and a set of fixed points of strict pseudo-contractions. Strong convergence theorems are established in the framework of Hilbert spaces. The results presented i...

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Bibliographic Details
Published in:Proceedings of the Estonian Academy of Sciences 2009-01, Vol.58 (3), p.170-183
Main Authors: Qin, X, Kang, S M, Cho, Y J
Format: Article
Language:English
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Summary:In this paper, we introduce an iterative algorithm for finding a common element in the set of solutions to generalized equilibrium problems and a set of fixed points of strict pseudo-contractions. Strong convergence theorems are established in the framework of Hilbert spaces. The results presented in this paper mainly improve on the corresponding results reported by many others.
ISSN:1736-6046
DOI:10.3176/proc.2009.3.04