Title of article :
On Fixed Point Theorem in Fuzzy Normed Space
Author/Authors :
mohammed, rana a. baghdad university - college of science - department of mathematics, Baghdad, Iraq , ahmed, buthainah a. a. baghdad university - college of science - department of mathematics, Baghdad, Iraq , s, fadhel f. al-nahrain university - college of science - department of mathematics and computer applications, Baghdad, Iraq
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.
Keywords :
Fuzzy domain , dcpo , Formal balls , fixed point in fuzzy dcpo
Journal title :
Al-Nahrain Journal Of Science
Journal title :
Al-Nahrain Journal Of Science
