Explain the basics: Explain the concepts as well Let f: RR be an increasing function. Suppose that there exist a, b E R satisfy b> a and a ≤ f(a) and f(b) < b. Show that f has at least one fixed point., that is, there is some ER such that f(x) = x. (Hint: Consider z = sup{y ER: a ≤ y ≤ by ≤ f(y)} and z) Also explain sup can explain how to solve this? why is feto a increase foto? why is the y values part of x values? (f(b)z why f(f(z)) what is it?

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