On Fixed Fuzzy Point Theorem in Fuzzy Length Space and Finite Dimension Fuzzy Length Spaces

International Journal of Mathematics Trends and Technology (IJMTT)
© 2016 by IJMTT Journal
Volume-37 Number-3
Year of Publication : 2016
Authors : Jehad R. Kider, Jaafar Imran Mousa


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.

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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Fuzzy length space on fuzzy set, Fuzzy fixed point, uniformly fuzzy continuous operator, Fuzzy contractive operator.