Title of article :
COMMENTS ON RELAXED ( , r)-COCOERCIVE MAPPINGS
Author/Authors :
SAEIDI, SHAHRAM Department of Mathematics - University of Kurdistan, Kurdistan
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
