DOI: 10.24193/fpt-ro.2021.2.30

Authors: Ravi Agarwal, Donal O'Regan and Ebrahim Soori

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 S = {T_i : i ∈ 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 Fix(S) such that P_iT_i = T_iP_i = P_i.

Key Words and Phrases: Fixed point, group nonexpansive mapping, topological group, retraction.

2010 Mathematics Subject Classification: 47H09, 47H10.

Published on-line: July 1st, 2021.

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