Recession cones of nonconvex sets and increasing functions
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- by Gerald Beer
- Proc. Amer. Math. Soc. 73 (1979), 228-232
- DOI: https://doi.org/10.1090/S0002-9939-1979-0516469-7
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Abstract:
In this article a local characterization theorem is given for closed sets in a linear topological space that have recession cones with nonempty interior. This theorem is then used to characterize the class of upper semicontinuous increasing functions defined on closed $E_ + ^d$-recessional subsets of ${E^d}$.References
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- A. Wayne Roberts and Dale E. Varberg, Convex functions, Pure and Applied Mathematics, Vol. 57, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1973. MR 0442824
- R. Tyrrell Rockafellar, Convex analysis, Princeton Mathematical Series, No. 28, Princeton University Press, Princeton, N.J., 1970. MR 0274683
- Ronald W. Shephard, Theory of cost and production functions, Princeton Studies in Mathematical Economics, vol. 4, Princeton University Press, Princeton, N. J., 1970. MR 0414052
Bibliographic Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 73 (1979), 228-232
- MSC: Primary 52A35; Secondary 52A05
- DOI: https://doi.org/10.1090/S0002-9939-1979-0516469-7
- MathSciNet review: 516469