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

Authors

  • ALİ MUTLU Associate Professor Ali MUTLU(Ph.D) Topology Main Science Branch Chief Department of Mathematics Faculty of Science and Arts Celal Bayar University 45047-Muradiye Campus Manisa/TÜRKİYE abgamutlu@gmail.com
  • UTKU GÜRDAL Department of Mathematics Faculty of Science and Arts Celal Bayar University 45047-Muradiye Campus Manisa/TÜRKİYE

Keywords:

Coincidence point, fixed point, metric space, mixed monotony property, function space.

Abstract

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

Author Biographies

ALİ MUTLU, Associate Professor Ali MUTLU(Ph.D) Topology Main Science Branch Chief Department of Mathematics Faculty of Science and Arts Celal Bayar University 45047-Muradiye Campus Manisa/TÜRKİYE abgamutlu@gmail.com

Associate Professor Ali MUTLU(Ph.D)Topology Main Science Branch Chief

UTKU GÜRDAL, Department of Mathematics Faculty of Science and Arts Celal Bayar University 45047-Muradiye Campus Manisa/TÜRKİYE

Mathematics

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Published

30-09-2015