On Fixed Point Theorem in Fuzzy Normed Space

Authors

  • Rana A Mohammed Department of Mathematics, College of Science, Baghdad University, Baghdad-Iraq
  • Buthainah A. A Ahmed Department of Mathematics, College of Science, Baghdad University, Baghdad-Iraq.
  • Fadhel F S Department of Mathematics and Computer Applications, College of Science, Al-Nahrain University, Baghdad-Iraq.

Keywords:

Fuzzy domain, dcpo, Formal balls, fixed point in fuzzy dcpo

Abstract

The formal balls in fuzzy normed space X (characterized by closed balls in X) are ordered by reverse inclusion depending on the concept of level sets. The set of formal balls in a fuzzy normed space is called a fuzzy domain normed space denoted by BX. This set is directed complete partially ordered set (dcpo), its maximal elements are the suprema. A contraction mapping principle is defined on BX. Banach fixed point theorem is studied and proved on BX.

 

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Published

2018-06-07

Issue

Vol. 18 No. 4 (2015): December

Section

Mathematics

How to Cite

(1)
Mohammed, R. A.; Ahmed, B. A. A.; S, F. F. On Fixed Point Theorem in Fuzzy Normed Space. Al-Nahrain J. Sci. 2018, 18 (4), 138-143.