Banach operator pairs and common fixed points in hyperconvex metric spaces

N. Hussain, M. A. Khamsi, A. Latif

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

The purpose of this paper is to establish DeMarr's well-known theorem for an arbitrary family of symmetric Banach operator pairs in hyperconvex metric spaces without the compactness assumption. We also give necessary and sufficient criteria for the existence of a common fixed point of a semigroup of isometric mappings. As an application, several results on the invariant best approximation are proved.

Original languageBritish English
Pages (from-to)5956-5961
Number of pages6
JournalNonlinear Analysis, Theory, Methods and Applications
Volume74
Issue number17
DOIs
StatePublished - Dec 2011

Keywords

  • Banach operator pair
  • Fixed point
  • Hyperconvex metric space
  • Nearest point projection
  • Nonexpansive mapping

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