Title of article
COMMENTS ON RELAXED ( , r)-COCOERCIVE MAPPINGS
Author/Authors
SAEIDI, SHAHRAM Department of Mathematics - University of Kurdistan, Kurdistan
Pages
4
From page
54
To page
57
Abstract
We show that the variational inequality V I(C,A) has a unique solution
for a relaxed (
, r)-cocoercive, μ-Lipschitzian mapping A : C ! H with
r >
μ2, 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.
Keywords
Common element , Contraction , Fixed point , Iteration , Nonexpansive mapping , Relaxed ( , r)-cocoercive mappings , Variational inequality
Journal title
Astroparticle Physics
Serial Year
2010
Record number
2440659
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