We show that the variational inequality $VI(C,A)$ has a unique 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 $H$. 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.
Saeidi, S. (2010). Comments on relaxed $(\gamma, r)$-cocoercive mappings. International Journal of Nonlinear Analysis and Applications, 1(1), 54-57. doi: 10.22075/ijnaa.2010.68
MLA
S. Saeidi. "Comments on relaxed $(\gamma, r)$-cocoercive mappings". International Journal of Nonlinear Analysis and Applications, 1, 1, 2010, 54-57. doi: 10.22075/ijnaa.2010.68
HARVARD
Saeidi, S. (2010). 'Comments on relaxed $(\gamma, r)$-cocoercive mappings', International Journal of Nonlinear Analysis and Applications, 1(1), pp. 54-57. doi: 10.22075/ijnaa.2010.68
VANCOUVER
Saeidi, S. Comments on relaxed $(\gamma, r)$-cocoercive mappings. International Journal of Nonlinear Analysis and Applications, 2010; 1(1): 54-57. doi: 10.22075/ijnaa.2010.68
)