Fixed points of left reversible semigroup of isometry mappings in Banach spaces

preprint2016arXivOpen access

Abstract

In this paper, we prove the existence of a common fixed point in C(K)C(K), the Chebyshev center of K, for a left reversible semigroup of isometry mappings. This existence result improves the results obtained by Lim et al. and Brodskii and Milman.

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