Fixed Point Theory in Locally Convex Spaces

Afif Ben Amar and Donal O’Regan
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Afif Ben Amar: University of Sfax, Faculty of Sciences, Department of Mathematics
Donal O’Regan: National University of Ireland, Galway, School of Mathematics

Chapter Chapter 3 in Topological Fixed Point Theory for Singlevalued and Multivalued Mappings and Applications, 2016, pp 45-83 from Springer

Abstract: 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).

Keywords: Fixed Point Results; Weak Noncompactness; Lebesgue Integrable Real Functions; Hammerstein Integral Operator; Leray-Schauder Alternative (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-31948-3_3

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DOI: 10.1007/978-3-319-31948-3_3

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