%0 Journal Article
%T Comments on relaxed $(gamma, r)$-cocoercive mappings
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Saeidi, S.
%D 2010
%\ 01/01/2010
%V 1
%N 1
%P 54-57
%! Comments on relaxed $(gamma, r)$-cocoercive mappings
%K Common element
%K Contraction
%K Fixed
point
%K Iteration
%K Nonexpansive mapping
%K Relaxed $(gamma ,
r)$-cocoercive mappings
%K variational inequality
%R 10.22075/ijnaa.2010.68
%X 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.
%U https://ijnaa.semnan.ac.ir/article_68_35bfd7b5fbb5e640ce2b05e93c804d24.pdf