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A Remark on the Existence of Solutions to Nonlinear Equations with Degenerate Mappings |
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| Authors: | Agnieszka Prusi&# ska Alexey Tret&# yakov |
| Affiliation: | (1) Institute of Mathematics and Physics, University of Podlasie, 3-go Maja 54, 08-110 Siedlce, Poland;(2) System Research Institute, Polish Academy of Sciences, Newelska 6, 01-447 Warsaw, Poland;(3) Russian Academy of Sciences, Computing Center, Vavilova 40, Moscow, GSP-1, Russia |
| Abstract: | The paper studies nonlinear mappings using methods of p-regularity theory and some concepts and technics of set-valued analysis. The main result addresses to the problem of existence of solutions to nonlinear equations in the degenerate case where a linear part may be singular at the considered initial point. |
| Keywords: | p-Regularity Singularity Contracting mapping Non-linear mapping, Multimapping p-Factor operator |
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