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- Title
The Sandwich theorem via Pataraia's fixed point theorem.
- Authors
Amarante, Massimiliano
- Abstract
The Sandwich theorem (König in Archiv der Mathematik 23:500-1972, 1972) yields the existence of a linear functional sandwiched in between a given superlinear functional and a given sublinear functional. By combining an argument implicit in Fuchssteiner and Maitland Wright (Q J Math 28:155-162, 1977) with a theorem of Pataraia (in: Presented at the 65th peripatetic seminar on sheaves and logic, Aarhus, Denmark, November, 1997), we show that such a linear functional obtains as a common fixed point of a certain family of mappings.
- Subjects
HAHN-Banach theorem; FIXED point theory; MATHEMATICAL notation; RIESZ spaces; ALGEBRAIC functions; MATHEMATICAL functions
- Publication
Positivity, 2019, Vol 23, Issue 1, p97
- ISSN
1385-1292
- Publication type
Article
- DOI
10.1007/s11117-018-0595-0