An infinite dimensional fixed point theorem on function spaces of ordered metric spaces

MUTLU A., Gürdal U.

Kuwait Journal of Science, vol.42, no.3, pp.36-49, 2015 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 42 Issue: 3
  • Publication Date: 2015
  • Journal Name: Kuwait Journal of Science
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.36-49
  • Keywords: Coincidence point, fixed point, metric space, mixed monotony property, function space
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

In this study, we extend the notion of multidimensional fixed point and coincidence point theorem to infinite dimensional product spaces. We also prove some theorems, which generalizes some results that are known in this field.