so I have some questions and am looking for some papers to read for my own knowledge and understanding. So one may think of BFGS as poor man Newton method in terms of convergence, requires less but it is objectively slower. I have read on BFGS and have seen that one may prove the method by solving a minimization problem
http://www.optimization-online.org/DB_FILE/2007/09/1789.pdf
I have also read a bit on Newton, and I have seen it been proven as a fix point problem. My question is can we think of the BFGS as a fix point problem and are there any papers proving the BFGS using the fix point theorem?