Convergence of a regularization algorithm for nonexpansive and monotone operators in Hilbert spaces

Qing Yuan, Yunpeng Zhang · Fixed Point Theory and Applications · 2014

Variational inequality, fixed point and generalized equilibrium problems are investigated via a regularization algorithm. It is proved that the sequence generated in the regularization algorithm converges strongly to a common solution of the three problems in the framework of Hilbert spaces. The results presented in this paper improve and extend the corresponding ones announced by many authors.

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