Intermediate value theorems and fixed point theorems for semi-continuous functions in product spaces
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- by Jean Guillerme
- Proc. Amer. Math. Soc. 123 (1995), 2119-2122
- DOI: https://doi.org/10.1090/S0002-9939-1995-1246525-9
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Abstract:
We prove an intermediate value theorem for noncontinuous functions; as consequences, we obtain coincidence and fixed points theorems for nonmonotone and noncontinuous functions defined and with values in a product space ${\mathbb {R}^I}$. Some of them, even when the index set I is a singleton, improve recent statements of S. Schmitd.References
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Bibliographic Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 2119-2122
- MSC: Primary 54H25
- DOI: https://doi.org/10.1090/S0002-9939-1995-1246525-9
- MathSciNet review: 1246525