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On Fixed Point Theorem in Fuzzy Normed Space | ||
| Journal of Al-Nahrain University - Science | ||
| Article 1, Volume 18, Issue 4, 2015, Pages 138-143 | ||
| Authors | ||
| Rana A. Mohammed; Buthainah A. A. Ahmed; Fadhel F. S | ||
| 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 | ||
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