Weak stability and weak discrete convergence of continuous mappings |
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Authors: | Prof Dr Friedrich Stummel |
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Institution: | (1) Department of Mathematics, Johann Wolfgang Goethe-Universität, Robert-Mayer-Straße 10, D-6000 Frankfurt am Main, Germany |
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Abstract: | Summary The present paper establishes new equivalence theorems concerning weak discrete convergence, weak stability and consistency for sequences of continuous mappings as well as associated estimates. The method of increasing precisions yields an algorithm for the numerical solution of weakly discretely convergent problems. The general results are illustrated by an application to double sequences and difference quotients. |
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