Based in a very recent paper by Micchelli et al. [8], we present an algorithmic approach for computing the resolvent of composite operators: the composition of a monotone operator and a continuous linear mapping. The proposed algorithm can be used, for example, for solving problems arising in image processing and traffic equilibrium. Fur- thermore, our algorithm gives an alternative to Dykstra-like method for evaluating the resolvent of the sum of two maximal monotone operators.
@article{1186,
title = {Computing the resolvent of composite operators},
journal = {CUBO, A Mathematical Journal},
volume = {16},
year = {2014},
language = {en},
url = {http://dml.mathdoc.fr/item/1186}
}
Moudafi, Abdellatif. Computing the resolvent of composite operators. CUBO, A Mathematical Journal, Tome 16 (2014) 10 p. http://gdmltest.u-ga.fr/item/1186/