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arXiv · 1801.05322

Existence of group nonexpansive retractions and ergodic theorems in topological groups

Ebrahim Soori·Ravi P. Agarwal·Donal O'Regan
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Abstract

Suppose that $G$ is a topological group and $ C $ a compact subset of $G$. In this paper we define group nonexpansive mappings and then we consider $\sc = \{T_{i} : i \in I \}$ as a family of the group nonexpansive mappings on $C$. Also we study the existence of group nonexpansive retractions $P_{i}$ from $C$ onto $\text{Fix}(\sc)$ such that $P_{i}T_{i} = T_{i}P_{i} = P_{i}$.

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BibTeXRIS

Ebrahim Soori, Ravi P. Agarwal, Donal O'Regan. 2018-01-15. Existence of group nonexpansive retractions and ergodic theorems in topological groups. https://arxiv.org/abs/1801.05322

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