An extragradient approximation method for variational inequality problem on fixed point problem of nonexpensive mappings and monotone mappings
Alongkot Suvarnamani, Mongkol Tatong (2012)
Archivum Mathematicum
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We introduce an iterative sequence for finding the common element of the set of fixed points of a nonexpansive mapping and the solutions of the variational inequality problem for tree inverse-strongly monotone mappings. Under suitable conditions, some strong convergence theorems for approximating a common element of the above two sets are obtained. Moreover, using the above theorem, we also apply to finding solutions of a general system of variational inequality and a zero of a maximal...