On the Existence of Optima in Complete Chains and Lattices
نویسنده
چکیده
A necessary and sufficient condition for a preference ordering defined on a chain-complete poset to attain its maximum in every subcomplete chain is obtained. A meet-superextremal, or join-superextremal, function on a complete lattice attains its maximum in every subcomplete sublattice if and only if it attains a maximum in every subcomplete chain.
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ورودعنوان ژورنال:
- J. Optimization Theory and Applications
دوره 154 شماره
صفحات -
تاریخ انتشار 2012