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On the boundedness and continuity of convex functions and additive functions

✍ Scribed by Roman Ger; Marek Kuczma


Publisher
Springer
Year
1969
Tongue
English
Weight
92 KB
Volume
3
Category
Article
ISSN
0001-9054

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On Extension and Continuity of p–Additiv
✍ Joanna SzczawiΕ„ska πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 168 KB πŸ‘ 1 views

In this paper we prove some properties of p -additive functions as well as p -additive set -valued functions. We start with some definitions. Definition 2.1. A set C βŠ† X (where X is a vector space) is said to be a convex cone if and only if C + C βŠ† C and t C βŠ† C for all t ∈ (0, ∞). Definition 2.2.