Measures of Weak Compactness and Fixed Point Theory

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In this paper, we study a class of Banach spaces, called ϕ-spaces. In a natural way, we associate a measure of weak compactness in such spaces and prove an analogue of Sadovskii fixed point theorem for weakly sequentially continuous maps. A counter-example is given to justify our requirement. As an application, we establish an existence result for a Hammerstein integral equation in a Banach space.
9 pages

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Functional Analysis, 47H10; 45N05

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http://salesiana.dossiersoluciones.com/handle/123456789/68993

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0310422
 http://arxiv.org/abs/math/0310422

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arXiv