I am working in constraint optimization. And I've just come across this notation.
I'm not sure what this means.

The set I is the set of inequality constraints. I'm not sure what the function in brackets means
I am working in constraint optimization. And I've just come across this notation.
I'm not sure what this means.

The set I is the set of inequality constraints. I'm not sure what the function in brackets means
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I guess that $[y]^- = \min(y,0)$.
This notation is mentioned in Wikipedia, but with a slight difference: $[y]^- = -\min(y,0)$.
The important point is the minus sign as a superscript. The brackets are just like parentheses.