An Inexact Generalized Proximal Point Algorithm in Banach Spaces
B. F. Svaiter | da Silva, Geci J. P.
proximal point method | Banach spaces | Maximal monotone operators | enlargement of a maximal monotone operator
In this paper we prove weak convergence of an inexact proximal-like method for finding zeroes of a maximal monotone operator in reflexive Banach spaces. The method we consider is an inexact version of the proximal-like method proposed by Burachik and Scheimberg. This inexact method can also be viewed as an extension of an inexact proximal-like method proposed by Solodov and Svaiter in Hilbert Spaces with quadratic regularization.