A note on subadditive functions
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- by James S. W. Wong PDF
- Proc. Amer. Math. Soc. 44 (1974), 106 Request permission
Abstract:
A short proof is given for the following result: Let $\phi$ be subadditive on $(0,b)$ and $\phi (t) < t,t \in (0,b)$. Then ${\sup _{a \leqq t \leqq b}}\phi (t)/t < 1$ for $0 < a < b$.References
- D. W. Boyd and J. S. W. Wong, On nonlinear contractions, Proc. Amer. Math. Soc. 20 (1969), 458–464. MR 239559, DOI 10.1090/S0002-9939-1969-0239559-9
- Chi Song Wong, Subadditive functions, Pacific J. Math. 36 (1971), 549–551. MR 279251
Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 44 (1974), 106
- MSC: Primary 26A12
- DOI: https://doi.org/10.1090/S0002-9939-1974-0327985-0
- MathSciNet review: 0327985