Embeddability of mean-type mappings in a continuous iteration semigroup

作者：Jarczyk Witold^*; Matkowski Janusz

来源：Nonlinear Analysis-Theory Methods & Applications, 2010, 72(5): 2580-2591.

DOI：10.1016/j.na.2009.11.006

• Mean
• Invariant mean
• Mean-type mapping
• Continuous iteration semigroup
• Iterability
• Translation equation
• Cocycle equation
• Homogeneous linear functional equation

We characterize iterability in the class of homogeneous symmetric strict mean-type mappings and determine all continuous iteration semigroups of such functions in which the given mean-type mapping can be embedded.

• 出版日期2010-3-1