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From: Ian Kelly <ian.g.kelly@gmail.com>
Date: Fri, 5 Oct 2012 15:31:35 -0600
Subject: Re: fmap(), "inverse" of Python map() function
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Xref: csiph.com comp.lang.python:30841

On Fri, Oct 5, 2012 at 2:19 PM, vasudevram <vasudevram@gmail.com> wrote:
>
> http://jugad2.blogspot.in/2012/10/fmap-inverse-of-python-map-function.html

Your fmap is a special case of reduce.

def fmap(functions, argument):
    return reduce(lambda result, func: func(result), functions, argument)