The Fuzzy Brouwer Fixed-Point Theorem
Copyright policy )The Fuzzy Brouwer Fixed-Point Theorem
It is proved that the Brouwer fixed-point theorem continues to hold for Hutton's \(L\)-cubes (with finite or countably many factors) provided that \(L\) is a completely distributive lattice with a countable base. It is worthwhile to point out that in a forthcoming paper by the author and the reviewer [Fuzzy Sets Systems, 1999] it is proved that the conclusion continues to be true for any cube of Hutton's \(L\)-interval \(I(L)\) for any completely distributive lattice \(L\).
Hutton's \(L\)-interval, Hutton's \(L\)-cubes, Fuzzy topology, Fixed-point and coincidence theorems (topological aspects), Applied Mathematics, Brouwer fixed-point theorem, Analysis
Hutton's \(L\)-interval, Hutton's \(L\)-cubes, Fuzzy topology, Fixed-point and coincidence theorems (topological aspects), Applied Mathematics, Brouwer fixed-point theorem, Analysis
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