Notation: getting one value from arg max

[Max.Planck]

I want to take the arg max over a number of functions as below, however it is possible that there are multiple i's for which the result is maximal. How do i denote that I want to take the last possible i, for example if it results in 3 and 5 I want it to return 5, is there notation available for this?

$arg\,max_{i} f_{i}(\mathbf{x})$

 

[wabbit]

I am not aware of such notation, but it's unclear to me whether you're looking to denote $$ argmax f\text{ where }f(x)=max_{\{i\}}f_i(x) $$ or $$ max_{\{i\}} argmax f_i $$

 

[Max.Planck]

I want to get the index of the function with the highest value for that particular x, and if there are several, the last index should be returned.

 

[wabbit]

OK, so $\max(\text{argmax}_{i}f_i(x))$... Sorry, can't think of a standard notation for that, maybe others will.