So that it appears too that Problem B can be solved by finding the fixed point of the function g defined by equation (9).
Iterative solution
Solution of Problem A. The function f(R) has the following properties:
(a) f(0)=0
(b) f(R) is monotonically increasing on [0,∞)
(c) f(R) is bounded above
(d) f(R) is strictly concave downward on the interval [0,∞)
(e) f^' (0)>1.