Summary
We show that the properties of being strongly surjective or stably solvable (in the sense of Furi-Martelli-Vignoli) carry over to maps which are “near” (in the sense of Campanato).
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References
A.Buica:Data dependence theorems on coincidence problemsStudia UBB (Cluj)41 (1996), 33–40
S.Campanato:Further contribution to the theory of near mappingsLe Matematiche48 (1993), 183–187
M.FuriM.MartelliA.Vignoli:Contributions to the spectral theory for nonlinear operators in Banach spacesAnnali Mat. Pura Appl.118 (1978), 229–294
M.FuriM.MartelliA.Vignoli:On the solvability of nonlinear operator equations in normed spacesAnnali Mat. Pura Appl.124 (1980), 321–343
R. E.GainesJ.Mawhin:The Coincidence Degree and Nonlinear Differential EquationsLect. Notes Math.568Springer, Berlin 1977
K.Goebel: Acoincidence theoremBull. Acad. Pol. Sci.16 (1968), 733–735
A.Granas:The theory of compact vector fields and some of its applications to topology of functional spaces IRozprawy Mat.30Warsaw 1962
A.GranasR. B.GuentherJ. W.Lee:Some general principles in the Carathéodory theory of nonlinear differential systemsJ. Math. Pures Appl.70 (1991), 153–196
D. H.HyersG.IsacT. M.Rassias:Topics in Nonlinear Analysis and ApplicationsWorld Scientific, Singapore 1997
S.Leonardi:On the Campanato nearness conditionLe Matematiche48 (1993), 179–181
R.Precup:Existence theorems for nonlinear problems by continuation methodsNonlin. Anal. TMA30 12 (1997), 3313–3322
I. A.Rus:Some remarks on coincidence theoryPure Math. Manuscr.9 (1990/91), 137–148
A.Tarsia:Some topological properties preserved by nearness between operators and applications to PDE’sCzechosl. Math. J.46 (121) (1996), 607–624
A.Tarsia:Differential equations and implicit functions: a generalization of the near operators theoremTopol. Methods Nonlin. Anal.11 (1998), 115–133
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Dedicated to Alfonso Vignoli on the ocassion of his 60th birthday
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© 2000 Springer Basel AG
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Buica, A. (2000). Strong Surjections and Nearness. In: Appell, J. (eds) Recent Trends in Nonlinear Analysis. Progress in Nonlinear Differential Equations and Their Applications, vol 40. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8411-2_7
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DOI: https://doi.org/10.1007/978-3-0348-8411-2_7
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9556-9
Online ISBN: 978-3-0348-8411-2
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