Abstract
A topological fuzzy fixed point theorem is given, when generalizing and improving the main result by Diamond, Kloeden and Pokrovskii (1997) [1]. Apart from the sole existence, a weak local stability property, called non-ejectivity in the sense of Browder, of fuzzy fixed points is established. This theorem is then applied for obtaining non-ejective fuzzy fractals. An alternative approach via the Knaster–Tarski theorem is also presented.
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