A characterization between fixed point properties of weak nonexpansive semigroups and the existence of a left invariant mean on the space of weakly almost periodic functions

Abstract

In this paper, we shall introduce a characterization between new fixed point theorems for weak nonexpansive semi-topological semigroups on a locally convex space and the presence of a left invariant mean on weakly almost periodic functions. Our outcomes expand the results of Lau and Zhang [13, 14] and Lau [15].