Perturbations of normally solvable nonlinear operators, I
Let X and Y be Banach spaces and let ℱ and 𝒢 be Gateaux differentiable mappings from X to Y In this note we study when the operator ℱ+𝒢 is surjective for sufficiently small perturbations 𝒢 of a surjective operator ℱ The methods extend previous results in the area of normal solvability for nonlinear...
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Main Authors: | William O. Ray, Anita M. Walker |
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Format: | Article |
Language: | English |
Published: |
Wiley
1985-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Subjects: | |
Online Access: | http://dx.doi.org/10.1155/S0161171285000266 |
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