Existence and properties of inverse mappings |
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| Authors: | A V Arutyunov S E Zhukovskiy |
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| Institution: | (1) Mathematical Reviews, American Mathematical Society, 416 Fourth Street, Ann Arbor, 48105, Church Street, MI, USA;(2) Department of Mathematics, University of Washington, PO Box 354350, Seattle, WA 98195-4350, USA |
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| Abstract: | Nonlinear mappings in Banach spaces are considered. The covering property, metric regularity, and the existence of a continuous
right inverse are considered for these mappings under various assumptions of smoothness. Several regularity conditions that
guarantee the local covering property and the existence of a continuous right inverse are presented. |
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