A Mean Ergodic Theorem for Nonexpansive Mappings in Hadamard Spaces
نویسندگان
چکیده
In this paper, we prove a mean ergodic theorem for nonexpansive mappings in Hadamard (nonpositive curvature metric) spaces, which extends the Baillon nonlinear theorem. The main result shows that sequence given by Karcher means of iterations mapping with nonempty fixed point set converges weakly to mapping. This also remains true 1-parameter continuous semigroup contractions.
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ژورنال
عنوان ژورنال: Analysis Mathematica
سال: 2021
ISSN: ['0133-3852', '1588-273X']
DOI: https://doi.org/10.1007/s10476-021-0080-z