Displaying similar documents to “Strong convergence of an iterative method for variational inequality problems and fixed point problems”

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...