Abstract
In this section we discuss the existence of fixed points for weakly sequentially continuous mappings on domains of Banach spaces. We first present some applicable Leray–Schauder type theorems for weakly condensing and 1-set weakly contractive operators. The main condition is formulated in terms of De Blasi’s measure of weak noncompactness β (see Sect. 1.12).
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Ben Amar, A., O’Regan, D. (2016). Fixed Point Theory in Locally Convex Spaces. In: Topological Fixed Point Theory for Singlevalued and Multivalued Mappings and Applications. Springer, Cham. https://doi.org/10.1007/978-3-319-31948-3_3
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DOI: https://doi.org/10.1007/978-3-319-31948-3_3
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