Existence and quasilinearization in Hilbert spaces revisited

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Publisher: Taylor & Francis Ltd

ISSN: 0003-6811

Source: Applicable Analysis, Vol.86, Iss.4, 2007-04, pp. : 411-419

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Abstract

In this article we adjust and correct some proofs that appeared in the article (El-Gebeily, M. and O'Regan, D., 2006, Existence and quasilinearization methods in Hilbert spaces, Journal of Mathematical Analysis and Applications, 324, 344-357) in connection with the abstract operator problem [image omitted] in a Hilbert space [image omitted]. Both existence results and abstract quasilinearization are adjusted and better streamlined.