Actually I'm interested to minimize following kind of functions:
$f: U \rightarrow V$
where:
$U$ is a vector space and $V$ is a Ordered vector space, i mean Partially Ordered Vector space.
Special Case : $U$ is any set and $V$ is a Partially Ordered set.
What kind of Optimization algorithm works here? What is the starting point. Is there any ready made optimization toolbox available for this?
Thanks in advance !!!
FYI:
After googling a lot. I found this[http://en.wikipedia.org/wiki/Vector_optimization] is the closest thing I'm searching for. The references given in that page are really helpful.