English

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

Functional Analysis 2016-11-15 v1

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.

Keywords

Cite

@article{arxiv.1611.04087,
  title  = {Fixed points of left reversible semigroup of isometry mappings in Banach spaces},
  author = {S. Rajesh},
  journal= {arXiv preprint arXiv:1611.04087},
  year   = {2016}
}