A rapidly convergent iteration method and Gâteaux differentiable operators

DOI10.1016/0022-247X(84)90166-5zbMath0599.46066OpenAlexW2035582329MaRDI QIDQ1080119

William O. Ray

Publication date: 1984

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(84)90166-5

zbMATH Keywords

Gâteaux differentiable mappingInverse Function Theorem of J. Moser

Mathematics Subject Classification ID

Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Derivatives of functions in infinite-dimensional spaces (46G05)

Cites Work

• A generalization of Caristi's theorem with applications to nonlinear mapping theory
• Mapping theorems for gateaux differentiable and accretive operators
• The inverse function theorem of Nash and Moser
• Solvability of nonlinear operator equations
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