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Three-step iterations for variational inequalities and nonexpansive mappings. (English) Zbl 1128.65051

The authors propose a new three-step iterative method for finding the common elements of the variational inequalities and the fixed points of the nonexpansive mappings. They also consider the convergence analysis of the new method for the strongly inverse co-coercive mappings. The results proved in this paper may be viewed as an important improvement of the previously known results. They are to some extent general in nature and may stimulate the topic of research.

MSC:

65K10 Numerical optimization and variational techniques
49J40 Variational inequalities
Full Text: DOI

References:

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