文献类型：期刊文献

英文题名：A RANDOM FIXED-POINT THEOREM FOR MULTIVALUED NONEXPANSIVE OPERATORS IN UNIFORMLY CONVEX BANACH-SPACES

作者：XU, HK

年份：1993

卷号：117

期号：4

起止页码：1089

外文期刊名：PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

收录：;WOS:【SCI-EXPANDED(收录号:WOS:A1993KT22600029)】；

语种：英文

外文关键词：RANDOM FIXED POINT; MULTIVALUED NONEXPANSIVE OPERATOR; UNIFORMLY CONVEX BANACH SPACE

摘要：Let (OMEGA, SIGMA) be a measurable space with SIGMA a sigma-algebra of subsets of OMEGA, and let C be a nonempty, bounded, closed, convex, and separable subset of a uniformly convex Banach space X. It is shown that every multivalued nonexpansive random operator T: OMEGA x C --> K(C) has a random fixed point, where K(C) is the family of all nonempty compact subsets of C endowed with the Hausdorff metric induced by the norm of X.