In this paper, we begin by discussion of some well known results on the existence of left
invariant means in the spaces: LUC(S), AP(S) and WAP(S) with Hahn-Banach extension theorem.
We then give a new and precise proof of the well known Fan–Glicksberg fixed point theorem. This is then followed by a discussion on some related open problems.

 

 

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Author(s)

Lau, A. T.-M., Yao, L.