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 Article20131102We show that the variational inequality $VI(C,A)$ has a<br />unique solution for a relaxed $(gamma , r)$-cocoercive,<br />$mu$-Lipschitzian mapping $A: Cto H$ with $r>gamma mu^2$, where<br />$C$ is a nonempty closed convex subset of a Hilbert space $H$. From<br />this result, it can be derived that, for example, the recent<br />algorithms given in the references of this paper, despite their<br />becoming more complicated, are not general as they should be.https://ijnaa.semnan.ac.ir/article_68_35bfd7b5fbb5e640ce2b05e93c804d24.pdf