Some Properties of C∗-Graded Metric Spaces and Fixed Point Results

Authors

  • Shaban Sedghi
  • Aghil gilani
  • Mohammad foozooni

DOI:

https://doi.org/10.30495/jme.v0i0.67

Keywords:

C∗-algebra, common fixed point theorem, compatible mappings of type (I) and (II).

Abstract

In this paper, by using of C∗-algebra we give a metric with range in positive unit ball of a C∗-algebra. Indeed this is a generalization of a fuzzy metric space. Some definitions of compatible mappings of types (I) and (II) are introduced and some fixed and common fixed point theorems are proved.

Author Biographies

Shaban Sedghi

Department of Mathematics Associated Professor of Mathematics Islamic Azad University-Qaemshahr Branch P.O. Box 163 Qaemshahr, Iran

Aghil gilani

Department of Mathematics Instructor of Mathematics Islamic Azad University-Kordkuy Branch P.O. Box 4881644479 Kordkuy, Iran

Mohammad foozooni

Department of Mathematics Instructor of Mathematics Imam Ali University Tehran, Iran

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Published

2010-04-02

Issue

Vol 4 (2009-2010)

Section

Vol. 4, No. 2 (2010)

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