On Fixed Point Theorem in Fuzzy Normed Space

  • 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.

 

Published
2018-06-07
How to Cite
Mohammed, R. A., Ahmed, B. A. A., & S, F. F. (2018). On Fixed Point Theorem in Fuzzy Normed Space. Al-Nahrain Journal of Science, 18(4), 138-143. Retrieved from https://anjs.edu.iq/index.php/anjs/article/view/297
Section
Articles