On nonlinear equations of Hammerstein type in Banach spaces
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- by Peter Hess
- Proc. Amer. Math. Soc. 30 (1971), 308-312
- DOI: https://doi.org/10.1090/S0002-9939-1971-0282268-X
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Abstract:
A new theorem on the existence and uniqueness of a solution of an equation of Hammerstein type $u + TNu = f$ is given. Here N denotes a (nonlinear) monotone mapping of a real reflexive Banach space X into its conjugate space ${X^ \ast }$ and T a bounded monotone linear operator of ${X^ \ast }$ into X. It is not assumed that T or N is coercive.References
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Bibliographic Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 30 (1971), 308-312
- MSC: Primary 47.80
- DOI: https://doi.org/10.1090/S0002-9939-1971-0282268-X
- MathSciNet review: 0282268