COMMENTS ON RELAXED (,r )-COCOERCIVE MAPPINGS

Shahram Saeidi · 2010

We show that the variational inequality V I(C,A) has a unique so- lution for a relaxed (,r )-cocoercive, µ-Lipschitzian mapping A : C ! H with r > µ 2 , where C is a nonempty closed convex subset of a Hilbert space H. From this result, it can be derived that, for example, the recent algorithms given in the references of this paper, despite their becoming more complicated, are not general as they should be.

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