On Fixed Fuzzy Point Theorem in Fuzzy
Length Space and Finite Dimension Fuzzy
Length Spaces
Jehad R. Kider, Jaafar Imran Mousa "On Fixed Fuzzy Point Theorem in Fuzzy Length Space and Finite Dimension Fuzzy Length Spaces", International Journal of Mathematics Trends and Technology (IJMTT). V37(3):199-208 September 2016. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.
Abstract
In this paper we recall the definition of fuzzy length
space on a fuzzy set after that we recall basic
definitions and properties of this space. Then we
prove the fixed fuzzy point theorems for a fuzzy
complete fuzzy length spaces on a fuzzy set. Are
finite dimensional fuzzy length spaces simpler than
infinite dimensional ones in this direction we proved
some properties that does not satisfied in the infinite
case.
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Keywords
Fuzzy length space on fuzzy set, Fuzzy fixed point,
uniformly fuzzy continuous operator, Fuzzy
contractive operator.