comments on relaxed $(gamma, r)$-cocoercive mappings
نویسندگان
چکیده
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.
منابع مشابه
Comments on relaxed $(gamma, r)$-cocoercive mappings
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...
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عنوان ژورنال:
international journal of nonlinear analysis and applicationsناشر: semnan university
ISSN
دوره 1
شماره 1 2010
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