Autor:	Saeidi, Shahram
Rok vydání:	2009
Předmět:	Mathematics - Functional Analysis 47H09 47H10 47J20 74G15
Druh dokumentu:	Working Paper
Popis:	We show that the variational inequality $VI(C,A)$ has a unique solution for a relaxed $(\gamma, r)$-cocoercive, $\mu$-Lipschitzian mapping $A: C\to H$ 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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0909.4291 Zobrazit plný text záznamu View this record from Arxiv