comments on relaxed $(gamma, r)$-cocoercive mappings

نویسندگان

s. saeidi

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.

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عنوان ژورنال:
international journal of nonlinear analysis and applications

ناشر: semnan university

ISSN

دوره 1

شماره 1 2010

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