Caratheodory-Type Selections and Random Fixed Point Theorems
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Caratheodory-Type Selections and Random Fixed Point Theorems
Published Date
1985-06
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Center for Economic Research, Department of Economics, University of Minnesota
Type
Working Paper
Abstract
We provide some new Caratheodory-type selection theorems, i.e, selections
for correspondences of two variables which are continuous with respect to one
variable and measurable with respect to the other. These results generalize
simultaneously Michael's [21] continuous selection theorem for lower-semicontinuous
correspondences as well as a Caratheodory-type selection theorem of
Fryszkowski [10]. Random fixed point theorems (which generalize ordinary
fixed point theorems, e.g., Browder's [6]) follow as easy corollaries of our
results.
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Previously Published Citation
Taesung, K., Prikry, K. and Yannelis, N.C., (1985), "Caratheodory-Type Selections and Random Fixed Point Theorems", Discussion Paper No. 216, Center for Economic Research, Department of Economics, University of Minnesota.
Suggested citation
Kim, Taesung; Prikry, Karel; Yannelis, Nicholas C.. (1985). Caratheodory-Type Selections and Random Fixed Point Theorems. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/55484.
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