Common fixed-point results in best approximation theory

N. Hussain*, A. R. Khan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

38 Scopus citations

Abstract

A common fixed-point generalization of the results of Dotson, Tarafdar, and Taylor is obtained which in turn extends a recent theorem by Jungck and Sessa to locally convex spaces. As applications of our work, we improve and unify well-known results on fixed points and common fixed points of best approximation.

Original languageEnglish
Pages (from-to)575-580
Number of pages6
JournalApplied Mathematics Letters
Volume16
Issue number4
DOIs
StatePublished - May 2003

Keywords

  • Best approximation
  • Common fixed point
  • Locally convex space
  • Nonexpansive map
  • Weakly commuting maps

ASJC Scopus subject areas

  • Applied Mathematics

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