Comments on relaxed $(gamma, r)$-cocoercive mappings
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Abstract:
We show that the variational inequality $VI(C,A)$ has aunique solution for a relaxed $(gamma , r)$-cocoercive,$mu$-Lipschitzian mapping $A: Cto H$ with $r>gamma mu^2$, where$C$ is a nonempty closed convex subset of a Hilbert space $H$. Fromthis result, it can be derived that, for example, the recentalgorithms given in the references of this paper, despite theirbecoming more complicated, are not general as they should be.
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Journal title
volume 1 issue 1
pages 54- 57
publication date 2010-01-01
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