Nonlinear ergodic theorem for semitopological semigroups of non-Lipschitzian mappings in Banach spaces

作     者：LI Gang and MA Jipu1. Department of Mathematics, Yangzhou Normal College, Yangzhou 225002, China 2. Department of Mathematics, Nanjing University, Nanjing 210093, China 

作者机构：Department of Mathematics Yangzhou Normal College Yangzhou China Department of Mathematics Nanjing University Nanjing China 

出 版 物：《Chinese Science Bulletin》 (科学通报(英文版))

年 卷 期：1997年第42卷第1期

页      面：8-11页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：nonlinear semigroup ergodic theorem non-Lipschitzian mapping. 

摘      要：LET G be a semitopological semigroup, i. e. G is a semigroup with a Hausdorff topology such that for each s∈G the mapping s|→s·t and s|→t·s from G to G are continuous. G is called right reversible if any two closed left ideals of G have non-void intersection. In this case, (G,≤) is a directed system when the binary relation ≤ on G is defined by a≤b if and only if Let E be the uniformly convex Banach space