Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68221120100101Comments on relaxed $(\gamma, r)$-cocoercive mappings54576810.22075/ijnaa.2010.68ENS.SaeidiDepartment of Mathematics, University of Kurdistan,
Sanandaj 416, Kurdistan, Iran.Journal Article20090420We 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.https://ijnaa.semnan.ac.ir/article_68_35bfd7b5fbb5e640ce2b05e93c804d24.pdf