Abstract
In this paper we introduce an iterative process to find a common element of the set of fixed points of a strict pseudo-contraction and the set of solutions of the variational inequality problem for a monotone and Lipschitz continuous mapping. The iterative process is based on the so-called modified extragradient method. We obtain a weak convergence theorem for two sequences generated by this process. Using this theorem, we also construct an iterative process to find a common element of the set of fixed points of a strict pseudo-contraction and the set of zeroes of a monotone and Lipschitz continuous mapping.
Citation
Lu-Chuan Ceng. Shuechin Huang. "MODIFIED EXTRAGRADIENT METHODS FOR STRICT PSEUDO-CONTRACTIONS AND MONOTONE MAPPINGS." Taiwanese J. Math. 13 (4) 1197 - 1211, 2009. https://doi.org/10.11650/twjm/1500405502
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