Reference : Uniformity and inexact version of a proximal method for metrically regular mappings
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/10903
Uniformity and inexact version of a proximal method for metrically regular mappings
English
Aragón Artacho, Francisco Javier mailto [University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB) > >]
Geoffroy, M. H. [> >]
2007
Journal of Mathematical Analysis & Applications
335
1
168-183
Yes
International
0022-247X
[en] proximal point algorithm ; metric regularity ; strong subregularity
[en] We study stability properties of a proximal point algorithm for solving the inclusion 0∈T(x) when T is a set-valued mapping that is not necessarily monotone. More precisely we show that the convergence of our algorithm is uniform, in the sense that it is stable under small perturbations whenever the set-valued mapping T is metrically regular at a given solution. We present also an inexact proximal point method for strongly metrically subregular mappings and show that it is super-linearly convergent to a solution to the inclusion 0∈T(x).
Luxembourg Centre for Systems Biomedicine (LCSB): Systems Biochemistry (Fleming Group)
http://hdl.handle.net/10993/10903
10.1016/j.jmaa.2007.01.050
http://www.scopus.com/inward/record.url?eid=2-s2.0-34347336607&partnerID=40&md5=fbedf7bc7165494bef9a4a42a775b441

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