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Extended Carisit's theorem on F-toplogical space
2006
The purpose of the paper is to weaken the assumption of lower semicontinuity condition on φ in Carisit's theorem on F-toplogical space,and give out ghe proof of the extended theorem by using Brezis-Browder order principle.
Keywords:
- Mean value theorem (divided differences)
- Kelvin–Stokes theorem
- Bruck–Ryser–Chowla theorem
- Brouwer fixed-point theorem
- Arzelà–Ascoli theorem
- Carlson's theorem
- Factor theorem
- Mathematical analysis
- Danskin's theorem
- Mathematics
- Discrete mathematics
- Closed graph theorem
- Fundamental theorem
- Picard–Lindelöf theorem
- Compactness theorem
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