Nondiscrete mathematical induction and iterative existence proofs.(English)Zbl 0323.46005

MSC:

 46A30 Open mapping and closed graph theorems; completeness (including $$B$$-, $$B_r$$-completeness) 46B99 Normed linear spaces and Banach spaces; Banach lattices 47H10 Fixed-point theorems 03F99 Proof theory and constructive mathematics 46A19 Other “topological” linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than $$\mathbb{R}$$, etc.)
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References:

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