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Showing 1 to 2 of 2 for “"contraction maps"”.
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Contraction maps and applications to the analysis of iterative algorithms
… to be able to analyze non-convex optimization. Contraction maps and Banach's Fixed Point Theorem are very important tools for bounding the running time of a big class of iterative algorithms used to solve non-convex problems. But when we use the natural distance metric, of the spaces that we are …
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Applications in Fixed Point Theory
Banach's contraction principle is probably one of the most important theorems in fixed point theory. It has been used to develop much of the rest of fixed point theory. Another key result in the field is a theorem due to Browder, Göhde, and Kirk involving Hilbert spaces and nonexpansive mappings. …