Intermediate value theorems and fixed point theorems for semi-continuous functions in product spaces
Author:
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 R I {\mathbb {R}^I} . Some of them, even when the index set I is a singleton, improve recent statements of S. Schmitd.
Publisher
American Mathematical Society (AMS)
Subject
Applied Mathematics,General Mathematics
Link
http://www.ams.org/proc/1995-123-07/S0002-9939-1995-1246525-9/S0002-9939-1995-1246525-9.pdf
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