I am a little bit new to proximal functions and I am currently stuck with the following problems
How would I derive the prox function for the regularizer (h(x) function) : $\alpha\sum_{k+} $ and for $ \alpha ||z||_2$?
Any hint about how to start and do this would be great.
There is a nice table of proximal operators of several commonly used functions in Combettes and Pesquet, 2010. You might want to have a look.