Geodesic
Relatively unstable invariant sets of nonlinear operators
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 28, Tome 243 (1997), pp. 131-137 
I. N. Kostin. Relatively unstable invariant sets of nonlinear operators. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 28, Tome 243 (1997), pp. 131-137. http://geodesic.mathdoc.fr/item/ZNSL_1997_243_a8/
@article{ZNSL_1997_243_a8,
     author = {I. N. Kostin},
     title = {Relatively unstable invariant sets of nonlinear operators},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {131--137},
     year = {1997},
     volume = {243},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_243_a8/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The note contains accurate proofs of Lipschitz versions of a collection of results from the theory of invariant manifolds of nonlinear mappings which are well known for the case of smooth mappings.