Topological Degree for Operators of Class (S)+ with Set-Valued Perturbations and Its New Applications
Evgenii S. Baranovskii,
Mikhail A. Artemov
Abstract:We investigate the topological degree for generalized monotone operators of class (S)+ with compact set-valued perturbations. It is assumed that perturbations can be represented as the composition of a continuous single-valued mapping and an upper semicontinuous set-valued mapping with aspheric values. This allows us to extend the standard degree theory for convex-valued operators to set-valued mappings whose values can have complex geometry. Several theoretical aspects concerning the definition and main prope… Show more
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