TY - JOUR
T1 - Caratheodory-type selections and random fixed point theorems
AU - Kim, Taesung
AU - Prikry, Karel
AU - Yannelis, Nicholas C.
N1 - Funding Information:
by an NSF grant
PY - 1987/3
Y1 - 1987/3
N2 - 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.
AB - 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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U2 - 10.1016/0022-247X(87)90269-1
DO - 10.1016/0022-247X(87)90269-1
M3 - Article
AN - SCOPUS:38249036554
SN - 0022-247X
VL - 122
SP - 393
EP - 407
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 2
ER -