Suppose U is a set, F is a field of subsets of U, PAB is the set of all bounded finitely additive functions from F into ℝ, and PA+ is the set of non-negative valued elements of PAB. In this paper it is proved that if β is a mapping from PA+ into PA+ then β is the nearest point mapping for a linear C-set iff β commutes with a certain collection of nonlinear mappings.
Nonlinear Mapping Additive Function Point Mapping Characterization Theorem
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