%0 Report
%9 IIASA Working Paper
%A Kiwiel, K.
%C IIASA, Laxenburg, Austria
%D 1995
%F iiasa:4568
%T Proximal Minimization Methods with Generalized Bregman Functions
%U https://pure.iiasa.ac.at/id/eprint/4568/
%X We consider methods for minimizing a convex function $f$ that generate a sequence ${x^k}$ by taking $x^{k+1}$ to be an approximate minimizer of $f(x)+D_h(x,x^k)/c_k$, where $c_k>0$ and $D_h$ is the $D$-function of a Bregman function $h$.  Extensions are made to $B$-functions that generalize Bregman functions and cover more applications.  Convergence is established under criteria amenable to implementation. Applications are made to nonquadratic multiplier methods for nonlinear programs.