Towards variational analysis in metric spaces: metric regularity and fixed points |
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Authors: | A. D. Ioffe |
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Affiliation: | 1. Department of Mathematics, Technion, Haifa, 32000, Israel
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Abstract: | The main results of the paper include (a) a theorem containing estimates for the surjection modulus of a “partial composition” of set-valued mappings between metric spaces which contains as a particlar case well-known Milyutin’s theorem about additive perturbation of a mapping into a Banach space by a Lipschitz mapping; (b) a “double fixed point” theorem for a couple of mappings, one from X into Y and another from Y to X which implies a fairly general version of the set-valued contraction mapping principle and also a certain (different) version of the first theorem. |
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