The Topological Degree in Ordered Banach Spaces

The Topological Degree in Ordered Banach Spaces

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摘要 This paper is devoted to the applications of classical topological degrees to nonlinear problems involving various classes of operators acting between ordered Banach spaces. In this framework, the Leray-Schauder, Browder-Petryshyn, and Amann-Weiss degree theories are considered, and several existence results are obtained. The non-Archimedean case is also discussed. This paper is devoted to the applications of classical topological degrees to nonlinear problems involving various classes of operators acting between ordered Banach spaces. In this framework, the Leray-Schauder, Browder-Petryshyn, and Amann-Weiss degree theories are considered, and several existence results are obtained. The non-Archimedean case is also discussed.

作者 Adrian DUMA Ileana DUMA

机构地区 Department of Mathematics Department of Financial Management and Accounting

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2008年第10期1583-1592,共10页 数学学报（英文版）

关键词 degree theory ordered Banach spaces A-proper mappings fixed-point theorems degree theory, ordered Banach spaces, A-proper mappings, fixed-point theorems

分类号 O177.2 [理学—基础数学]

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Acta Mathematica Sinica,English Series

2008年第10期

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The Topological Degree in Ordered Banach Spaces

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