A proximal point method for nonsmooth convex optimizationproblems in Banach spaces
A proximal point method for nonsmooth convex optimizationproblems in Banach spaces
In this paper we show the weak convergence and stability of the proximal point method when applied to the constrained convex optimization problem in uniformly convex and uniformly smooth Banach spaces. In addition, we establish a nonasymptotic estimate of convergence rate of the sequence of functional values for the unconstrained …