Caratheodory-Type Selections and Random Fixed Point Theorems
نویسندگان
چکیده
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 [2l] continuous selection theorem for lower-semicontinuous correspondences as well as a Caratheodory-type selection theorem of Fryszkowski [IO]. Random lixed point theorems (which generalize ordinary fixed point theorems, e.g., Browder’s 161) follow as easy corollaries of our results. 1 19X7 Aoademic Press, Inc.
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