On Fixed Point Theorem in Fuzzy Normed Space
Keywords:
Fuzzy domain, dcpo, Formal balls, fixed point in fuzzy dcpoAbstract
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
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How to Cite
[1]
“On Fixed Point Theorem in Fuzzy Normed Space”, ANJS, vol. 18, no. 4, pp. 138–143, Jun. 2018, Accessed: Apr. 23, 2024. [Online]. Available: https://anjs.edu.iq/index.php/anjs/article/view/297