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I am trying to do the following on Mathematica: Given a pair $(x,y)$, minimize an objective function $f(x,z)$ such that z satisfies $g(x,z) \leq g(x,y)$.

I have defined both functions

f[x_, y_] := ...

g[x_, y_] := ...

Tried the following but it did not work:

x = a number;
y = another number

Min[{f[x, z], g[x, z] <= g[x, y]}, {z, 1, 10}]

Could you help me on that please?

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  • $\begingroup$ 1. The minimization functions are FindMinimum[] and NMinimize[]; none of those are in what you've written. 2. You should include the actual functions if you want people to be more helpful. $\endgroup$
    – J. M.'s eventual burnout ♦
    Nov 21, 2015 at 19:46
  • $\begingroup$ Ups I've done a mistake, thanks! I will prepare my question better and ask again. $\endgroup$
    – Nonlinear
    Nov 21, 2015 at 20:04

1 Answer 1

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FindMinimum[{f[x, z], g[x, z] <= g[x, y]}, z][[1]]
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