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Two fixed-point theorems concerning bicompact convex sets

Two fixed-point theorems concerning bicompact convex sets

1.In this paper we are concerned with two kinds of fixed-point theorems, which are not essentially new.Theorem 1 is already given by A. Markov D and Theorem 2 is a generalisation of a result of J.v. Neumann and W. Maak.But the simple way of proving Theorem 1