Almost-periodicity problem as a fixed-point problem for evolution inclusions
作者： Jan Andres , Alberto M. Bersani
关键词: Fixed point 、 Brouwer fixed-point theorem 、 Picard–Lindelöf theorem 、 Fixed-point property 、 Almost periodic function 、 Mathematics 、 Schauder fixed point theorem 、 Kakutani fixed-point theorem 、 Fixed-point theorem 、 Mathematical analysis
摘要: Existence of almost-periodic solutions to quasi-linear evolution inclusions under a Stepanov forcing is nontraditionally examined by means the Banach-like and the Schauder-Tikhonov-like fixed-point theorems. These multivalued fixed-point principles concern condensing operators in almost-periodic function spaces or their suitable closed subsets. The Bohr-Neugebauer-type theorem jointly with Bochner transform are employed, besides another, for this purpose. Obstructions related possible generalizations discussed.
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