Proximal Methods for Cohypomonotone Operators
Patrick L. Combettes, Teemu Pennanen · SIAM Journal on Control and Optimization · 2004
Conditions are given for the viability and the weak convergence of an inexact, relaxed proximal point algorithm for finding a common zero of countably many cohypomonotone operators in a Hilbert space. In turn, new convergence results are obtained for an extended version of the proximal method of multipliers in nonlinear programming.