Perturbations of normally solvable nonlinear operators, I

William O. Ray and Anita M. Walker

International Journal of Mathematics and Mathematical Sciences, 1985, vol. 8, 1-6

Abstract:

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 operators.

Date: 1985
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:634348

DOI: 10.1155/S0161171285000266

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