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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On Fixed Point Theorem in Fuzzy Normed Space. ANJS 2018, 18 (4), 138-143.