A Degree for Operators of Monotone Type

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1983 German Publisher:WileyJournal:Mathematische Nachrichten, volume 114, pages 53-62 (issn: 0025-584X, eissn: 1522-2616,

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Authors: Krauss, Eckehard;

doi: 10.1002/mana.19831140104

A Degree for Operators of Monotone Type

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Abstract

The degreee of operators between such Banach spaces that form a dual system in the sense of Schaefer is defined, under a weak continuity hypothesis. The usual properties of the degree are derived for operators of monotone type and it is computed for coercive and monotone mappings.

Keywords

operators of monotone type, Equations involving nonlinear operators (general), degreee of operators, Monotone operators and generalizations, dual system in the sense of Schaefer, coercive and monotone mappings

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